Mike drove 100 miles in a rental car and was charged $58.00. Jane rented the same car after Mike had rented it and was charged $65.00 for 170 miles. Write an equation to represent y, the total rental cost, in terms of x, the number of miles driven.

Answers

Answer 1

Answer:

y= 48 + 0.1x

x= miles driven

Step-by-step explanation:

We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (65 - 58) / (170 - 100)

Variable cost per unit= $0.1 per mile

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 65 - (0.1*170)

Fixed costs= $48

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 58 - (0.1*100)

Fixed costs= $48

y= 48 + 0.1x

x= miles driven


Related Questions

pls help me with this i will give brainliest to who answer both questions

Answers

Answer:

1st one: 50 cups

2nd one: 3.125 gallons

Step-by-step explanation:

Question 1:

2.5 cups per pitcher

20pitchers x 2.5cups = 50cups total

Question 2:

16 cups per gallon

50cups / 16cups = 3.125 gallons

Answer:

D 50

Step-by-step explanation:

B 34 gallons

The Gonzalez's updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6.5% sales tax on their purchases. If the Gonzalez's paid $351.72 total, determine if they paid the correct amount.

Answers

Answer:

Not exactly

Step-by-step explanation:

Cost lamp = $89.95Cost of comforter set = $239.99Sales tax = 6.5%

Total payment:

($89.95 + $239.99)*1.065 = $351.39

Total amount is a little different:

$351.72 vs $351.39

5x+6=2x+15 solve for x

Answers

Answer:

the answer is:

5x - 2x = 15 - 6

3x = 9

x = 3

If the width of a rectangle is 9 ft less then twice it’s length and the perimeter is 30 feet, what are the dimensions of the rectangle?

Answers

9 times 30, and the other number would be 18 :))

The dimension of the rectangle is,

The length of the rectangle is 7 feet.

And the width of the rectangle is 8 feet.

Given that,

If the width of a rectangle is 9 ft less than twice its length and the perimeter is 30 feet,

We have to determine,

What are the dimensions of the rectangle?

According to the question,

Let, the width of the rectangle is W,

And the length of a rectangle is L = 2W - 9,

The perimeter of the rectangle is = 2(L+W)

Where perimeter is 30 feet,

Therefore,

[tex]30 = 2(2W-9+W)\\\\30 = 2(3W-9)\\\\30 = 6W-18\\\\30 + 18 = 12W\\\\48 = 6W\\\\W = \dfrac{48}{6}\\\\W = 8 \ feet[/tex]

And the length of a rectangle is,

[tex]L = 2W - 9, \\\\L= 2(8) - 9\\\\L = 16-9 \\\\L =7 \ feet.[/tex]

Hence, The dimension of the rectangle is, the length of the rectangle is 7 feet, and the width of the rectangle is 8 feet.

To know more about Rectangle click the link given below.

https://brainly.com/question/19005097

Can someone please explain to me how to calculate your GPA and also on how to find out what your total grade points is... I stay confused

Answers

Answer:

Here is the explanation of how I was taught to do it :)

Step-by-step explanation: In its easiest form, an A=4, B=3, C=2, D=1, F=0.

If the class is 2 credit.......Multiply each numeric grade value by the number of credits the course was worth

Add these numbers together

Divide 45 by the total number of credits you took, in this example,13.

Your Weighted by Credit Hour GPA = 3.46

It depends on your school. Sorry this was not the most clear, I was taught like 2 years ago, and now I kinda forgot but hopefully this helps a lil dont get mad :)

I NEED HELP I'M TAKING FINALS!
If five times a number is subtracted from 27, the result is nine more than four times the number. Which equation can be used to find the value of the number?
A. 5(27 - x) = 9 + 4x
B. 27 - 5x = 4(9 + x)
C. 27 - 5x = 4x + 9
D.
5x - 27 = 9 + 4x

Answers

Answer:

C

Step-by-step explanation:

Listen, just think about it.

If 5 times “x” is subtracted from 27 (so 27-5x) if the result/answer

(meaning its equal “=“ ) is 9+ than 4 times “x” (soo basically like 4x +9). If you put all of those 2 equations together you get 27 x 5x = 4x + 9.

(I use “x” to as the variable and remember when a variable is next to a number it means you have to multiply whatever that number is)

classify the triangle given the side lengths
5, 8, 12
a Acute
b right
c obtuse

Answers

Answer:

The answer is the second one

What are the solutions of x2 + x = 11

Answers

Answer:

x = 11/3

Step-by-step explanation:

x2 + x = 11

Combine like terms

3x = 11

Divide both sides by 3

x = 11/3

For f(x) = -4 - 6x, find f(5)

Answers

Answer:

-34

Step-by-step explanation:

Insert the 5 into the place of the X.

Then solve:

-4 - 6(5)

= -4 - 30

= -34

The answer is -34, the equation is asking what the output would be if x were to equal 5. -6 multiplied by 5 equals -30, then -4 and -30 combined is -34

What is the slope of a line that passes through the points (-2,4) and (-6, 12)?
-2
2
-1/2
1/2

Answers

It is -1/2
-2- -6 = 4
4-12= -8
-4/8 = -1/2

Answer:

-2

Step-by-step explanation:

first, you want to graph your points on a graph. A really good online graphing calculator i like is called desmos.

next, slope is rise over run. count how many units up or down from leftmost point to the other. in this case it is -8.

third, find the run part of the slope by counting units right or left from the leftmost point to the other. in this case it is 4.

last, but the two numbers together in a fraction and simplify. rise over run.

-8/4 which simplifies to -2/1 which is the same thing as -2

what is 4j+8=56 full answer

Answers

Answer:

j=12

Step-by-step explanation:

hope this helps

Sindhu’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x, then Sindhu’s present age is
3 (x – 3)
3x + 3
3x – 9
3(x + 3)

Answers

Answer:

I think "D"- 3(x + 3)

Step-by-step explanation:

as  3 years ago - x

so present age of shilpa  - x +3

~~~~~~~~~~~~~

present age  of sindhu - 3 (x+3)

i guess : )

Shilpa's age three years ago

Shilpa's age now = x + 3

Sindhu's age now = 3(x + 3)

Choose the expression that is equal to 28.3. A. 33 + 27.2 – 6.8 + 24 – 3.1 B. 33 + 27.2 – (6.8 + 24 – 3.1) C. [33 + (27.2 – 6.8)] + 24 – 3.1 D. 33 + 27.2 – (6.8 + 24) – 3.1​

Answers

i think it’s maybe D ?

If EF - 8x+ 17, PG - 37, and EG - 134, find the value of x. The drawing is not to scale.
F
G
x-12
x 80
X-10
X-26

Answers

X-12 trust me I cheated on this test

if a snail crawls 12 centimeters per hour, how long will it take for the snail to travel 1 meter?

Answers

Answer:

8 1/3 hours : )

PLEASEE HELP AND SHOW WORK​

Answers

Answer:

x = 44°

Step-by-step explanation:

2x - 6 = 82

2x = 82 +6

2x = 88

divide through by 2

x = 44°

similar triangle

f= -r + 4/3 b
find b
submit answer

Answers

Answer:

b=[tex]\frac{3f}{ 4} + \frac{3r }{ 4 }[/tex]

Step-by-step explanation:

What is the value of g(-9) for the function g(x) = x2 - x?

Answers

Answer:

72

Step-by-step explanation:

Given the function;

g(x) = x^2 - x

We are to find g(-9)

g(-9) = (-9)² - 9

g(-9) = 81 - 9

g(-9) = 72

hence the value of g(-9) is 72

plz help me
also good morning​

Answers

Answer:

x=-24

Step-by-step explanation:

Answer:

It is -24.

Step-by-step explanation:

First distribute 2/3 on the left side, and distribute 1/2 on the other side. Now you have 1 /3 x + 8 =  1/ 6 x + 7 + (−3). Now, combine like terms. Now you should have 1 /3 x + 8 =  1 /6 x + 4. Now, subtract 1/6x on both sides. You should now have 1 /6 x + 8 = 4. Subtract 8 from both sides, and you should have 1/6x = -4. Now the last step is to multiply by 6 on both sides. Now you should get -24. Have a good day!

help please? 26x-2(3x+4y)-10y

Answers

Answer:

20x-18y

Step-by-step explanation:

26x-2(3x+4y)-10y

26x-6x-8y-10y

20x-18y go doawnload the app photomath its a great tool

10=h/2+8 solve, its for algebra 1

Answers

Answer:

Subtract 8 from both sides which lead it to 2=h/2, then multiply two for each side then it turns to 4=h

3. If RS = 4y -2, ST = 5y -3, and RT = 16y+8. What is the value of y? Find RS, ST, and RT.

Answers

GOING SEVENTEEN SUPREMACY

Can someone help me out please!!

Answers

x =56 y =90

Step-by-step explanation:

hxjxskalskdhxgxh

what they said ahhdneoeicirnwnuwhenekeicifv

Simplity
82 - 6(7 - 4) + 2

Answers

Answer:

66

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define Expression

82 - 6(7 - 4) + 2

Step 2: Evaluate

(Parenthesis) Subtract:                    82 - 6(3) + 2Multiplication:                                   82 - 18 + 2Subtraction:                                      64 + 2Addition:                                           66

Please can someone give me the Answers from one to 10 and explain how you get it in a notebook

Answers

Answer/Step-by-step explanation:

1. (0, 3) and (-4, -3)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{-4 - 0} = \frac{-6}{-4} = \frac{3}{2} [/tex]

2. (2, -5) and (0, 5)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - (-5)}{0 - 2} = \frac{10}{-2} = -5 [/tex]

3. (-5, -5) and (-3, 5)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-5)}{-3 -(-5)} = \frac{10}{2} = 5 [/tex]

4. (0, -5) and (5, 5)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - (-5)}{5 - 0} = \frac{10}{5} = 2 [/tex]

5. (-4, 5) and (1, 0)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 5}{1 - (-4)} = \frac{-5}{5} = -1 [/tex]

6. (-5, 1) and (5, -4)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 1}{5 -(-5)} = \frac{-5}{10} = -\frac{1}{2} [/tex]

7. (-1, 4) and (-2, 1)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 4}{-2 -(-1)} = \frac{-3}{-1} = 3 [/tex]

8. (-5, 1) and (5, 0)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{5 - (-5)} = \frac{-1}{10} = -\frac{1}{10} [/tex]

9. (-5, -2) and (5, -3)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-2)}{5 -(-5)} = \frac{-1}{10} = -\frac{1}{10} [/tex]

10. (-3, 2) and (-5, 3)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{-5 -(-3)} = \frac{1}{-2} = -\frac{1}{2} [/tex]

Which of the following is closest to 1/2 + 1/3?

Answers

Answer:

c

Step-by-step explanation:

You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?

A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67

Answers

Answer: 9441.95

P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula

please help with solving this

Answers

Answer:

x=-7

Step-by-step explanation:

5x-2x+1=3x-6-x first combine like terms

3x+1=2x-6     combine like terms by subtracting 2x from both sides

x+1=-6           subtract 1 from both sides

x=-7

what is the answer of 1/3pi x r^2 / 4 x 2h?

PLEASE ANSWER FAST ILL MARKYOU AS A BRAINLIST

Answers

Answer:

1/3pi x r^2 / 4 x 2h

Step-by-step explanation:

Ummm I'm just clueless. :/

(8th grade)Use the elimination method to solve the system.
4x+6y=10
2x+5y=1

Answers

Point form: (11/2, -2)
Equation form: x=11/2 y= -2

4x+6y=10

-

2x+5y=1

= 2x+y=9

2x=9-y       -1

9-y+5y=1    ( using 1)

4y=1-9

y=-8/4

y=-2

2x=9-(-2)

2x=11

x=11/2

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