# 1

Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of \$4.50, plus \$0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of \$7.50, plus \$0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?

A.
0.65d - 0.75d = 12
B.
0.65d + 7.50 = 0.75d + 4.50
C.
0.65d + 0.75d = 12
D.
0.65d - 7.50 = 0.75d - 4.50(My guess)

## The correct answer is B.

the equation is:

4.5 + 0.75d (car 1) = 7.5 + 0.65d (car 2)

which is choice B.

## To find the equation that represents the distance, d, when the cost of renting the cars from both Fast Rental Services and Red Rent Services is the same, we need to equate the total cost of renting from each company.

Let's break down the cost for each company:

For Fast Rental Services:
Flat fee: \$4.50
Cost per mile: \$0.75

The total cost for Fast Rental Services can be represented as: 4.50 + 0.75d

For Red Rent Services:
Flat fee: \$7.50
Cost per mile: \$0.65

The total cost for Red Rent Services can be represented as: 7.50 + 0.65d

Since we want to find the distance, d when the cost of renting from both companies is the same, we can set the two equations equal to each other:

4.50 + 0.75d = 7.50 + 0.65d

Simplifying the equation, we get:

0.10d = 3.00

To solve for d, divide both sides of the equation by 0.10:

d = 3.00 / 0.10

Therefore, the equation that represents the distance, d when the cost of renting the cars from both companies are the same is:

0.75d + 4.50 = 0.65d + 7.50

So, the correct answer is option B:

0.65d + 7.50 = 0.75d + 4.50