Answer:
We can solve this problem using the elimination method, and in the elimination method we need to change equations so that one of the variables (either x or y) is eliminated. to do this, we can multiply one or both of the equations by constants so that the coefficients of one of the variables becomes equal so we can eliminate it from the equation. This will allow us to add the equations together and eliminate that variable.
For example, we could multiply the first equation by -5 and the second equation by 6, to get:
-30x + 10y = -20
-30x + 48y = 270
Then, we can add these equations together to eliminate the x variable:
-30x + 10y = -20
-30x + 48y = 270
-60x + 58y = 250
We can then solve for y by dividing both sides of the equation by 58:
y = 250 / 58
y = approximately 4.31
Once we have the value of y, we can substitute it back into one of the original equations to solve for x. for example, if we substitute it into the first equation, we get:
6x + 2 * 4.31 = 4
6x = 4 - 8.62
6x = -4.62
x = -0.77
Therefore, the solution to the system of equations is x = -0.77 and y = 4.31.
Brainliest would be appreciated if this answer helped you :)
PLEASE HELP
Given that x is a normal variable with mean = 47 and standard deviation = 6.4, find the following probabilities. (Round your answers to four decimal places.)
(a) P(x ≤ 60)
(b) P(x ≥ 50)
(c) P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean = 47 and standard deviation = 6.4, find the following probabilities.
(a) P(x ≤ 60) = 0.9356 (b) P(x ≥ 50) = 0.6744 (c) P(50 ≤ x ≤ 60) = 0.2612What are the probabilities?Generally, To solve these problems, we can use the standard normal distribution table or a computer program to find the desired probabilities.
First, we need to standardize the given values of x by subtracting the mean and dividing by the standard deviation. This gives us a standard normal random variable, denoted by Z, with a mean of 0 and a standard deviation of 1.
(a) P(x ≤ 60) = P(Z ≤ (60 - 47)/6.4) = P(Z ≤ 1.5625). From the standard normal distribution table or a computer program, we find that P(Z ≤ 1.5625) = 0.9356.
(b) P(x ≥ 50) = P(Z ≥ (50 - 47)/6.4) = P(Z ≥ 0.46875). From the standard normal distribution table or a computer program, we find that P(Z ≥ 0.46875) = 0.6744.
(c) P(50 ≤ x ≤ 60) = P(0.46875 ≤ Z ≤ 1.5625) = P(Z ≤ 1.5625) - P(Z ≤ 0.46875) = 0.9356 - 0.6744 = 0.2612.
Therefore, the probabilities are as follows:
(a) P(x ≤ 60) = 0.9356 (b) P(x ≥ 50) = 0.6744 (c) P(50 ≤ x ≤ 60) = 0.2612
Read more about probabilities
https://brainly.com/question/11234923
#SPJ1
Cost of goldfish: $3.45
Markup: 29%
What is the new cost?
After the markup in the price, the new cost of goldfish will be equal to $4.45.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Cost of goldfish = $3.45
Markup = 29%
So, the price increase will be,
(3.45 × 29)/100
= 100.05/100
= 1.0005
So, the new price is,
$3.45 + $1.0005
= $4.4505 ≈ $4.45
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ1
Which equation is the inverse of y = 2x^2 – 8?
Inverse of the equation y = [tex]2x^2-8[/tex] is [tex]y = \pm \sqrt{\frac{x+8}{2} }[/tex]
What do you mean by inverse function?
Let f and g be two functions. If
f(g(x)) = x and g(f(x)) = x,
g is the reciprocal of f, and f is the reciprocal of g.
Some functions don't have inverses Let f be a function.
If the horizontal line crosses the graph of f more than once, then f has no inverse.
If no horizontal line crosses the graph of f more than once, then f is the inverse.
Given equation:
y = [tex]2x^2-8[/tex]
To find the inverse of the function find the value of the x in terms of y
[tex]2x^2-8=y[/tex]
[tex]2x^2=y+8[/tex]
[tex]x^{2} =\frac{y+8}{2}[/tex]
x = [tex]\pm \sqrt{\frac{y+8}{2} }[/tex]
Therefore, inverse of the equation y = [tex]2x^2-8[/tex] is [tex]y = \pm \sqrt{\frac{x+8}{2} }[/tex]
To learn more about the inverse of the function from the given link.
https://brainly.com/question/3831584
#SPJ1
The numbers on two consecutively numbered gym lockers have a sum of 149. What are the locker numbers?
Answer:
The two locker numbers are 80 and 69.
Hope it helps!
The sum of the measures of angle A and angle B equals 90°.
sin A = 0.555 cos A = 0.832
What is cos B?
By using trigonometry, it can be calculated that -
cos B = 0.555
What is Trigonometry?
Trigonometry is a branch of mathematics that studies the relationships between angles and sides of triangles. It is used to solve problems involving lengths and angles of triangles, as well as circles and other shapes. Trigonometry is used in physics, engineering, and astronomy, and it has applications in the fields of navigation, surveying, and seismology. Trigonometry is based on the study of ratios and inverse functions, and it can be used to calculate the area of a triangle and its angles.
There are six trigonometrical functions. They are
[tex]sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]
Trigonometry is a very important tool in mathematics.
Here, trigonometry will be used
sin A = 0.555 cos A = 0.832
A + B = 90
B = 90 - A
cos B = cos(90 - A) = sin A = 0.555
To learn more about trigonometry, refer to the link
https://brainly.com/question/24349828
#SPJ1
There are currently 25 frogs in a (large) pond. The frog population grows exponentially, tripling every 10 days.
How long will it take (in days) for there to be 150 frogs in the pond?
Time to 150 frogs: days
The pond's ecosystem can support 1400 frogs. How long until the situation becomes critical?
Time to 1400 frogs: days
There are 21 days for there to be 150 frogs in the pond.
There are 37 days for there to be 1400 frogs in the pond.
What is exponential growth?
Quantity increases over time through a process called exponential growth. When a quantity's instantaneous rate of change with respect to time is proportional to the quantity itself, it happens.
Given:
There are currently 25 frogs in a (large) pond. The frog population grows exponentially, tripling every 10 days.
The exponential equation for the given problem is,
[tex]A(t) = Ar^t^/^1^0[/tex]
To find the number of days for there to be 150 frogs in the pond.
Here,
A(t) = 250, A = 25, r = 3
⇒
[tex]250 = 25(3)^t^/^1^0\\10 = 3^t^/^1^0\\t = 20.97[/tex]
t ≈ 21
Hence, there are 21 days for there to be 150 frogs in the pond.
Now to find how long for there to be 1400 frogs in the pond, we solve:
[tex]1400 = 25(3)^t^/^1^0\\56 = (3)^t^/^1^0\\t = 36.64[/tex]
t ≈ 37
Hence, there are 37 days for there to be 1400 frogs in the pond.
To know more about exponential growth, click on the link
https://brainly.com/question/26106075
#SPJ1
This function vertically stretches y = √x by a factor of 3, then translates it 2 units left.
We get 3y= √(x+2) after vertically stretches by 3 and translated 2 unit left.
What means vertically stretches?If a function is multiplied by a positive value that greater than 1, the graph of function is called vertically stretched graph. Here vertically stretches means the factor 3>1 and we need to multiply the y value by 3.
What means by translate 2 unit left?Translation of a graph means move the graph from one position to another position without changing its size, shape or orientation. Here, the graph is translated 2 units left so we need to add 2 with the x value.
We are given a graph, y= √X
Hence, after transformation the graph became 3y= √(x+2)
to learn more about horizontal and vertical translation of graph visit:
https://brainly.com/question/28306148
#SPJ1
Ella believes that the more one studies for the final exam, the less time it will take them to complete the exam. She measures both of these variables quantitatively (they are both measurement variables) and uses a correlation test statistic to analyze her data. Ella has a ______ hypothesis that will result in a(n) _______ -tailed test
Answer:
Positive, two-tailed
Step-by-step explanation:
austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time
40 miles will he have after 85 minutes of driving .
Given :
austin is driving to san francisco, suppose that the distance to his destination in miles is a linear function of total driving time. has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving .
slope = y2 - y1 / x2 - x1
m = 47.5 - 67 / 75 - 49
= -19.5 / 26
= -3/4
= -0.75
Use the point slope y - y1 = m(x - x1)
y - 67 = -.75 ( x - 49 )
y - 67 = -.75x + 36.75
y = -.75x + 36.75 + 67
y = -.75x + 103.75
x = 85
y = -.75(85) + 103.75
y = -63.75 + 103.75
y = 40 miles
Learn more about the function here:
https://brainly.com/question/5975436
#SPJ4
Full question :
austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?
Eve is going on vacation and taking her dog Pickles along. Pickles eats 4 cups of Hungry Hound dog food each day. Eve wants to know how many days she can feed Pickles from a 24-cup bag of Hungry Hound. Which equation can Eve use to find the number of days d she can feed Pickles from the bag.
The equation that Eve can use to find the number of days d she can feed Pickles from the bag is; 4d = 24
How to solve Linear equation Word Problems?
The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are given that;
Number of cups that Pickles eats per day = 4 cups per day
Now, Eve wants to know how many days she can feed Pickles from a 24-cup bag of Hungry Hound.
If the number of days are denoted as d, then we have the equation as;
4d = 24
d = 24/4
d = 6 days
We conclude that she can feed the dog for 6 days.
Read more about Linear equation at; https://brainly.com/question/20335698
#SPJ1
HELP NEEDED IMMEDIATELY!!!!!!!!!!!!!!!!! Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Robbie, Jennie, Willie, and Kylie played a numbers game. Jennie picked a number but did not tell her friends. Robbie and Willie both picked a number as well, and Jennie described their numbers like this to Kylie.
Robbie picked a number that is nine more than four times Jennie's number.
Willie picked a number that is two less than three times Robbie's number.
Deciding to call her number, n, Jennie asked Kylie to write an expression that describes Willie's number.
Kylie came up with two expressions that equal Willie's number.
Her first expression was
(
n +
) - 2. Simplifying her first expression, her second expression was 12n +
.
The two equations that equal Willie's number are given as follows:
n = 3y - 2.n = 12x + 25.How to obtain the equations?Jennie's number is unknown, hence we use the variable x to refer to her number.
Robbie picked a number that is nine more than four times Jennie's number, hence:
y = 9 + 4x.
(using y to refer to Robbie's number).
Willie picked a number that is two less than three times Robbie's number, hence:
n = 3y - 2.
(using n to refer to Willie's number).
Considering the expression for y, the second expression that describes Willie's number is given as follows:
n = 3(9 + 4x) - 2
n = 12x + 25.
Missing InformationThe problems asks foir the two expressions that equals Willie's number.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
find the fraction of the shaded area and reduce to simplest term IF possible
Answer:
½
pa brainliest po thanks
Answer:
1/2
Step-by-step explanation:
6 small rectangles, 3 are shaded and three are not, so half,
your answer is 1/2 (one half)
find the value of the expression w2 + 1v for v=3 and w=3
Answer: 12
Step-by-step explanation:
Since we are given what v and w are, we can directly plug them in to solve the expression.
w²+1v [plug in v and w]
(3)²+1(3) [exponent]
9+1(3) [multiply]
9+3 [add]
12
The expression is equal to 12.
McDonald's has a leaking drink machine. The manager placed a cup under the leak until he
could get it fixed. After 1 1/4 hours, the manager noticed that the cup had collected 1/3 cups of
soda. What is the rate, in cups per hour, at which the drink machine is leaking?
Answer:
4/15 cups of soda per hour
Step-by-step explanation:
1 1/4 = 5/4 and if 5/4 hours yielded 1/3 cups, you would have to multiply 1/3 by the reciprocal to find the hourly rate
1 4 4
- * - = --
3 5 15
Evaluate ab−c+d if a=78 , b=−716 , c=0.8 , and d=14 . Write your answer as a mixed number in simplest form.
In the case where a=78, b=716, c=0.8, and d=14, the simplest form of a mixed number is -117/640.
Explain about the simplest form?The smallest equivalent fraction of the number is the form that is the simplest. How to find the most basic form: In the numerator and denominator, look for shared factors. Examine the fraction to see if one of the numbers is a prime number.
The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.
When the top and bottom of a fraction cannot be any smaller while remaining whole numbers, it is said to be in its simplest form.
b a + c d
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
It can therefore be calculated as follows.
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
To learn more about simplest form refer to:
https://brainly.com/question/21527775
#SPJ1
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a.
f(x) = 3x^4 − 5x + ^3√(x^2 + 4), a = 2
The function f(x) = 3[tex]x^{4}[/tex] - 5[tex]x^{3}[/tex] + 3 [tex]\sqrt{x^{2} +4}[/tex] is continuous at x = 2.
Given that,
We need to follow the following steps:
The function is:
f(x) = 3x^4 − 5x + ^3√(x^2 + 4)
The function is continuous at point x=2 if:
The function f(x) exists at x=2.
The limit on both sides of 2 exists.
The value of the function at x=2 is the same as the value of the limit of the function at x = 2.
Therefore:
The value of the function at x = 2 is:
f(x) = 3[tex]x^{4}[/tex] - 5[tex]x^{3}[/tex] + 3 [tex]\sqrt{x^{2} +4}[/tex]
f(2) = 3[tex](2^{4} )[/tex] - 5[tex](2^{3} )[/tex] + 3[tex]\sqrt{2^{2} +4}[/tex]
f(2) = 3*16 - 5*8 + 3 [tex]\sqrt{8}[/tex]
f(2) = 48 - 40 + 3*2.82
f(2) = 8 + 8.46
f(2) = 16.46
The limit of the f(x) is the same at both sides of x=2, that is, the evaluation of the limit for values coming below x = 2, or 1,0.5 is the same that the limit for values coming above x = 2, or 3 , 4 , 5 etc.
For this case:
[tex]lim_{x -2} f(x)[/tex] = 3[tex]x^{4}[/tex] - 5[tex]x^{3}[/tex] + 3 [tex]\sqrt{x^{2} +4}[/tex]
[tex]lim_{x -2} f(x)[/tex] = 16.46
Since
f(2) = 16.46
And
[tex]lim_{x -2} f(x)[/tex] = 16.46
Therefore,
The function f(x) = 3[tex]x^{4}[/tex] - 5[tex]x^{3}[/tex] + 3 [tex]\sqrt{x^{2} +4}[/tex] is continuous at x = 2.
To learn more about Functions visit :
brainly.com/question/21145944
#SPJ4
Which expressions are equivalent to 20 divided by 1 plus 4
The expression equivalent to "20 divided by 1 plus 4" is 20 ÷ 1 + 4.
What are the rules of PEDMAS?The rules of PEDMAS can be understood by the full form of the name. B stands for bracket, O for of, D for division, M for multiplication, A for addition and S stands for subtraction. For a mathematical expression involving the combination of any of these operators the priority will be given to the letter that comes first.
The given statement for the problem is, " 20 divided by 1 plus 4".
It can be written in the form of expression as follows,
The sign of plus is given as '+'.
And, for divide it is '÷'.
Now, 20 divided by 1 plus 4 can be written as,
20 ÷ 1 + 4
Which is evaluated by BODMAS to give,
20 + 4 = 24.
Hence, the expression for the given case is 20 ÷ 1 + 4 which is equal to 24.
To know more about PEDMAS click on,
https://brainly.com/question/16738857
#SPJ1
please help and tell me what to put in
Using the two column proof, we have been able to prove that;
ΔPQR ≅ ΔTSR by AAS Congruency Postulate
How to solve two column proof problems?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
Thus, the two column proof required is as follows;
Statement 1: PR ≅ TR
Reason 1: Given
Statement 2: ∠PQR ≅ ∠TSR
Reason 2: Given
Statement 3: ∠PRQ ≅ ∠TRS
Reason 3: Opposite angles
Statement 4: ΔPQR ≅ ΔTSR
Reason 4: AAS Congruency postulate
AAS congruency postulate is one of the 5 major triangle congruency postulates that is defined as Angle-Angle-Side. This tells us that two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.
We can also say that Opposite angles are defined as the angles that are directly opposite each other where two lines cross. The intersection point in this regards is called the vertex, which is the point where the lines connect to form the angle. Opposite angles are also referred to as vertical angles
Read more about two column proof at; https://brainly.com/question/1788884
#SPJ1
If a fair coin is tossed 9 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 tails?
Answer:
Below
Step-by-step explanation:
2^9 possibilities =512
9 possibles with only ONE tails (9 C 1)
36 possibles with TWO tails ( 9 C 2)
45 out of 512 45/512 = .088
ez question pls help tho x/7 - 2 = 8 x=?
Answer: x = 70
Step-by-step explanation:
You can simply solve for x by simplifying both sides of the equation, then isolating the variable
Solve, x/7 - 2 = 8, for x.
x/7 = 10, added the value of 2 to both sides of the equation.
x=70, multiplied the value of 7 to both sides of the equation.
Thus the value of x is equal to 70.
A line passes through (3, -2) and is perpendicular to 3x - 2y = 7.
Answer:
y=-2x/3
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
An example of opposite reciprocals: -1/2 and 2
-1*2=-2
The reciprocal of -2 is -1/2.
In order to solve for slope, isolate y:
3x - 2y = 7 ==> solve for y
3x = 7 + 2y ==> add 2y on both sides to make y positive
3x - 7 = 2y ==> isolate y by subtracting 7 on both sides
y = (3x - 7)/2 ==> divide both sides by 2 in order to isolate y
y = 3x/2 - 7/2 ==> distribution
Hence, the slope is 3/2 <== 3x/2.
Now, find the perpendicular slope:
-1*3/2=-3/2
The reciprocal of -3/2 is -2/3 ==> the slope of the perpendicular equation
Now, find the equation of the line that passes through (3, -2):
y=mx+b ==> slope-intercept equation
-2=-2/3 * (3) + b ==> plugin (x=3, y=-2) and m=-2/3 which is the slope.
-2 = 3 * (-2/3) + b ==> solve for b
-2 = -6/3 + b
-2 = -2 + b
b = 0 ==> -2 + 0 = -2
y=-2x/3+0 ==> plugin the slope -2/3 and b=0.
y=-2x/3+0 ==> y=-2x/3
Hence, the equation is y=-2x/3.
Evaluate the expression below for s=3 and t=6.
3st² - s²
For s = 3 and t = 6, 3st² - s² =
The value of the expression is 3st² - s² is 315.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given expression is 3st² - s².
For s = 3 and t = 6, find the value of the expression 3st² - s².
To find the value of the expression, replace s by 3 and t by 6:
3st² - s²
= 3×3×6² - 3²
= (9 × 36) - 9
= 324 - 9
= 315
To learn more about substitution the value of variable, click on below link:
https://brainly.com/question/13674221
#SPJ1
Find the equation of a line that contains the points (−7,2) and (2,−2). Write the equation in slope-intercept form using fraction if necessary.
The required equation of the line which contains the points (−7,2) and (2,−2) is y = -4/9x - 8/9.
What is the equation of the line?A straight line's general equation is y = MX + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
The equation of the line's general form is:
y = MX + c
Where, m = slope, c = y-intercept and slope = ( y₂ - y₁ ) / ( x₂ - x₁ ).
Determine the line's slope:
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2-2) / (2+7 )
Slope= -4/9
The y-intercept is determined as follows:
y = MX + c
2 = -4/9x 2+c
c = -8/9
The lines' equation:
y = MX + c
y = -4/9x - 8/9
Therefore, the required equation of the line which contains the points (−7,2) and (2,−2) is y = -4/9x - 8/9.
Know more about the equation of the line here:
https://brainly.com/question/18831322
#SPJ1
Need help with this can someone help me and show work
first you add 117 to the x value and add 40 to the y value then divide by the opposite reciprocal and then you do it again to get the answer and whatever the answer is you divide by 157
{(-6, -8), (3, 2), (0, -8), (7,-6)} is this a function
Answer:
yes
Step-by-step explanation:
Please help me with this and show your process/work!!
After doing the equation the original price of the tie is $20.
What do you mean by algebraic expression?
An algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. Anything that is prepended to a variable and multiplied by it is a coefficient.
It is given that Duke bought the shirt and tie at half off rate.
Cost of shirt = $24
Total money paid by Duke = $22
Let cost of tie be x
According to question:
[tex]24\times \frac{1}{2}+ x\times \frac{1}{2}=22[/tex]
12 + [tex]x\times \frac{1}{2}[/tex] = 22
[tex]x\times \frac{1}{2}[/tex] = 22 - 12
x = 10 × 2
x = 20
Therefore , cost of tie is $20.
To learn more about the algebraic expression from the given link.
https://brainly.com/question/4344214
#SPJ1
Kim decided that she wanted to go bowling. The bowling alley charges $2.75 per game and $10 for shoes. If Kim has $30, how many complete games can she bowl?
Write an equation and solve it.
Answer: 2 complete games
Step-by-step explanation:
add shoes and game charge
$10.00 + 2.75 = 12.75 <— that’s 1 complete game
subtract it from $30.00
$30.00 - 12.75 = 17.25.
A complete game costs 12.75. so, Kim had enough money for one more game.
17.25 - 12.75 = $4.50 remaining after 2 complete games
Answer: 7 games
Step-by-step explanation: if it charges 10 for shoes, then you already subtract 10 from 30. 30-10=20. then, to find out how many games she can play, divide 2.75 from 20. 20/2.75=7.272727.... Since you can't pay for half of a game, it would be 7 games.
Select the number that completes the equivalent fraction.
3/4=9/?
4
8
10
12
a school organized three different trips. 50% of the students went on 1st trip, 80% went on the second trip and 90% went on the third trip. a total of 160 students went on all the three trips. how many students are at the school
Answer:m
Step-by-step explanation:
Milan is driving to San Francisco. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Milan has 68
milles to his destination after 37 minutes of driving, and he has 45.6 miles to his destination after 65 minutes of driving. How many miles will he have to his
destination after 81 minutes of driving?
After 81 minutes of driving the distance to destination is 32.8 miles.
What is linear function?Th function that has two variables with first order term is called linear function. While plotting on the XY coordinate system we get a straight line.
Why do we use linear equation in this problem?
as per question, distance to destination is a linear function of total driving time so we use the equation of straight-line having slope m and y intercept b for determining unknown values.
given, distance to destination in miles is a linear function of total driving time in minutes.
y=mx+b
in the equation, y denotes the distance to destination in miles
x is the total driving time in minutes
m is the slope of linear equation
b is the y intercept
Milan has 68 miles to his destination after 37 minutes of driving
68 = mx37+b
he has 45.6 miles to destination after 65 minutes of driving
45.6=mX65+b
solving the two equations by addition method
slope, m= -0.8
from the above two equation
we get b=97.6
now, after 81 minutes of driving the distance to destination, y=mx+b
y= -0.8x81+97.6
distance = 32.8 miles
to know more about linear function visit:
https://brainly.com/question/29952149
#SPJ1
