Question

The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is $27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

Answer 1

To find the number of days at which the rental fee is the same for both agencies, we can set up an equation and solve for the variable d.

Step-by-step explanation:

To find the number of days at which the rental fee is the same for both agencies, we can set up an equation.

Let's start by representing the cost for Agency A as: 24.50d + 15.99, where d represents the number of days.

Next, let's represent the cost for Agency B as: 27.50d + 3.99.

To find the number of days at which the rental fee is the same, we'll set the two costs equal to each other:

24.50d + 15.99 = 27.50d + 3.99

Now, solve for d:

15.99 - 3.99 = 27.50d - 24.50d

12 = 3d

d = 4

Therefore, the number of days at which the rental fee is the same for both agencies is 4 days.