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 - 7.50 = 0.75d - 4.50
D.
0.65d - 0.75d = 12
My answer is C Help please
To find the distance, d, when the cost of renting the cars from both companies is the same, we need to set up an equation that represents the total cost of renting the cars from each company.
For Fast Rental Services, the total cost can be calculated as $4.50 (flat fee) plus $0.75 for every mile traveled, which can be represented as 4.50 + 0.75d.
For Red Rent Services, the total cost can be calculated as $7.50 (flat fee) plus $0.65 for every mile traveled, which can be represented as 7.50 + 0.65d.
Since we want to find the distance, d, when the costs are equal, we can set up the equation:
4.50 + 0.75d = 7.50 + 0.65d
Simplifying both sides of the equation, we get:
0.75d - 0.65d = 7.50 - 4.50
0.10d = 3.00
Now, to isolate d, we divide both sides of the equation by 0.10:
d = 3.00 / 0.10
d = 30
Therefore, the equation that represents the distance, d, when the cost of renting the cars from both companies is the same is option B:
0.65d + 7.50 = 0.75d + 4.50