A tour company charges $25 to hire a tour director plus $75 per tour member. Write an equation, in function notation, to represent this situation and state a reasonable domain and range. Equation: Domain: Range

Answers

Answer 1

Answer:

f(x) = $25 + $75x.

Domain: positive whole numbers.

Range: f(x) ≥ $25

Step-by-step explanation:

Let x denote the total number of tour member, charging $75 per tour member implies $75x.

Therefore, the tour company charges:

f(x) = $25 + $75x

The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."

The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.


Related Questions

The ratio of apples to oranges is 2 to 3. If there are a total of 25 pieces of fruit, how many of each type of fruit are there

Answers

10 apples 15 oranges

Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?

Answers

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

[tex]y = mx+b[/tex]

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

i give out brainlist. write and solve the proportion in the complele statement.
1. 42 in, = ________cm
2. 12.6kg = _______Ib

Answers

Answer:

42 in=106.68cm

12.6kg=27.77lb

Step-by-step explanation:

pls give brainliest! im tryna get to vituoso

Answer:

1. 106.68

2. 27.78

Step-by-step explanation:

1. 1 in= 2.54 cm

42 × 2.54= 106.68

2. 1 kg= 2.20462 lbs

12.6 × 2.2= 27.77825

WHAT IS 5+5+5+5?WHAT IS 5+5+5+5?

Answers

Answer:

Step-by-step explanation:

20?

Answer: 20

Explanation:

5x4=20

-3-4747)-6(x-1)=9
What is x?

Answers

Answer:

Can you retype that and I’ll do it?

Step-by-step explanation:

If x=16 And y=625 then find (2√x+y)^2

Answers

Answer:

400689

Step-by-step explanation:

(2√x+y)²

(2√16+625)²

(2.4+625)

(8+625)²

(633)²

400689

What is the value of n?
3.4 x 107 = (2x 104)(1.7 x 10")
The value of n is

Answers

Answer:

n=3

Step-by-step explanation:

3.4(107)=2(104)(1.7(10n))

n=3

Samantha, Danielle, Jeff, and Isaac share minutes on their cell phone plan. Samantha used 1/4 of the minutes, Danielle used 0.5 of the minutes, and jeff used 0.2 of the minutes. what percent of the cell phone plan minutes are left for Issac to use? please help asap

Answers

1/20 because Samantha gets a 1/4 of the minutes or .25 so you add .25 + .5 + .2 and you are left with .05

Help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

500w + 25 = 200

Step-by-step explanation:

"He withdraws $25 per week..." <------

Which statement below is true about the
measurement 308.40 lb ?
A) It is precise to the nearest 0.01 lb and
accurate to 5 significant digits.
B) It is precise to 5 significant digits and
accurate to the nearest 0.01 lb.
C) It is precise to the nearest 0.1 lb and
accurate to 4 significant digits.
D) It is precise to 4 significant digits and accurate to the nearest 0.1 lb.
E) None of the above.

Answers

Answer:

the correct answer is d

7. The ratio of width to length of the United States flag is 10:19.
If the width of the flag at Emersen's school is 4 feet, what is its length in feet?

Answers

2 2/19 feet because 19x=4
X=4/19
10x=10x4/9
40/19

Bob says that when he multiplies (x+3) (x-3) he gets x^2-6x-9 is he correct explain

Answers

(x+3)(x-3)
x*x=x^2
x*-3=-3x
3*x=3x
3*-3=-9

where’s where he most likely messed up
x^2-3x+3x-9

the correct answer is x^-9

2. If m 26 = 128°, calculate m25, m_1, and m23.
+
5 6
113
42
7 8

Answers

Answer:

m∠5= 52°

m∠1= 128°

m∠3= 52°

Step-by-step explanation:

Please see the attached picture for the full solution.

Alternatively,

m∠3= m∠5 (vert. opp. ∠s)

m∠3= 52°

A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is​

Answers

It is a scalene triangle because none of the sides are the same!

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

For a triangle to be right angle triangle,

           [tex]c^2=a^2+b^2[/tex]

       By this law it is observed that,

For a triangle to be acute angle triangle,

         [tex]c^2<(a^2+b^2)[/tex]

For a triangle to be obtuse angle triangle,        

        [tex]c^2>(a^2+b^2)[/tex]

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

[tex]c^2=5^2\\c^2=25[/tex]

Other two sides,

[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]

Therefore,

[tex]25<28.13\\[/tex]

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

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Evaluate 5m+4 when m=8.

Answers

Answer:

44 is the answer for the question

Answer:

44

Step-by-step explanation:

5x8= 40

40+4=44

2 3/6 + 9 1/3 reduced to the lowest terms

Answers

Answer:

nah, thank u for the points tho

Step-by-step explanation:

50 = -2.5x all u have to do is SOLVE

Answers

Answer: The answer is x = -20.

Answer:

x = -20

Step-by-step explanation:

50 = -2.5x

Divide both sides by -2.5

-20 = x

Help me!will give brainliest: how do I graph it

Answers

Answer:

Step-by-step explanation:

follow that

Answer:

start at 7 on the y axis the then go down two

Step-by-step explanation:

next 5 points in your graph:

(5,1)

(3,2)

(1,3)

(-1,4)

(-3,5)

brainliest would be appriciated

Write a quadratic equation in standard form that has two solutions, -7 and -8

Answers

The standard form is ax² + bx + c = 0. We could write:

(x + 7 )(x + 8)

x²+8x+7x+56

x² + 15x + 56  → Answer

Determine if the pair of lines are parallel perpendicular or intersecting

Answers

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

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simplify 10x -(-7+6x)

Answers

4x+7 is the simplified answer

The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.

-(-7+6x) = -1×(-7) + (-1)×6x
          = 7 - 6x

Substituting this result into the original expression gives:

10x -(-7+6x) = 10x + 7 - 6x

Now we can combine like terms by adding the x terms and the constant terms separately:

= (10x - 6x) + 7

= 4x - 7

Therefore, 10x -(-7+6x) simplifies to 4x - 7.

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what percent of 120 is 66?

Answers

Answer:

55%

Step-by-step explanation:

66

120

x 100% = 55%

Answer:

66 is 55% of 120

Step-by-step explanation:

66 = 120 * x%

percent just means out of 100

for example, 20% is equal to 20/100

so, x% is x/100

66 = 120 * x/100

66/[tex]\frac{x}{100}[/tex] = 120

66 * 100/x = 120

6600/x = 120

cross multiply

6600/x = 120/1

6600 * 1 = x * 120

6600/120 = x

x = 55

what is the simplified form of 4x - 7 + x - 10

Answers

5x-17 is the ans of this question

Answer:

Subtract the numbers

4x-7+x-10

4x-17+x

answer: 5x-17

Step-by-step explanation:

Solve for X please help I need this asap

Answers

Answer:

f

Step-by-step explanation:

fgbdf

Answer:

x=3

Step-by-step explanation:

They are isosceles triangles and angle 2=56.  

56=53+x

x=3

what is the steps for this (-11)(-9)(-14) ​

Answers

Answer:

Here's ur ans buddy...PLZ mark it as brainliest ✌️✌️✌️

Step-by-step explanation:

[tex]( - 11)( - 9)( - 14) \\ ( - 20)( - 14) \\ ( - 34)[/tex]

find an equation for line L

Answers

Answer:  y = 4

Explanation:

Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.

You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.

Write the equation, In slope-Intercept form, of the line below.

y=-2
x=-2
y=2
x=2

Answers

Answer:

(0,-2)

no intercept

(0,2)

no intercept

Step-by-step explanation:

hope this helps

Answer:

Answer:

(0,-2)

no intercept

(0,2)

no intercept

Step-by-step explanation:

hope this helps

https://brainly.com/question/20207273

Step-by-step explanation:

solve -1/2w-3/5=1/5w.

Answers

-1/2w - 3/5 = 1/5w <=>

-1/2w - 1/5w = 3/5 <=>

-5/10w - 2/10w = 6/10 <=>

-7/10w = 6/10 <=>

-7w = 6 <=>

w = -6/7

Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total fare was $76,50, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.


I dont understand this​

Answers

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

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this is another prodigy question so please help

Answers

Answer:

918

Step-by-step explanation:

i know it

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