Question

Examine the advertisements below for two different car rental companies.

Rent A Car

Rental Fee: $16.25
One-Time Fee: $24.50
Additional Cost: $0.90 per mile

City Cars

Rental Fee: ?
One-Time Fee: ?
Additional Cost: $0.60 per mile

How many miles, m, will it take for Rent A Car and City Cars to cost the same amount of money?

Answer 1

The cost for Rent A Car and City Cars to be equal is achieved when the rental fee and one-time fee for City Cars are $15.65 each.

Step-by-step explanation:

To find the point at which the costs for Rent A Car and City Cars are the same, we need to set up an equation. Let's denote the number of miles as "m." The total cost for Rent A Car is given by the equation: 16.25m + 24.50 = Total cost for Rent A Car.

For City Cars, the equation is m+ 0.60m = Total cost.

Since we want the two costs to be equal, we can set up the equation: 16.25m + 24.50 = m+ 0.60m.

To simplify, let's combine like terms: 16.25m + 24.50 =(0.60)m.

Now, let's isolate the unknowns. We can set up two equations based on the rental fee and one-time fee: 16.25 = 0.60 and 24.50 =.

Solving these equations gives us the values for the rental fee and one-time fee for City Cars: = 15.65 and = 24.50.

So, the cost for Rent A Car and City Cars to be equal is achieved when the rental fee and one-time fee for City Cars are $15.65 each.