Question

Emilia needs to rent a car while on vacation. The rental company charges $17.95, plus 16 cents for each mile driven. If Emilia only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Answer 1

After considering both the fixed rental cost and the cost per mile, Emilia can drive a maximum of 137 miles with her $40 budget for car rental.

Step-by-step explanation:

To determine the maximum number of miles Emilia can drive with her $40 budget for car rental, we need to consider both the fixed cost and the variable cost per mile. The fixed cost is the initial charge of $17.95 for the rental, and the additional cost is 16 cents per mile.

First, we calculate the remaining budget after the fixed cost is paid: $40 - $17.95 = $22.05. Next, we divide the remaining budget by the cost per mile to get the number of miles she can drive: $22.05 ÷ $0.16/mile.

When we perform the calculation, we get: $22.05 ÷ $0.16/mile = 137.8125 miles. Since she can't drive a fraction of a mile in this context, we round down to the nearest whole number, which gives us a maximum of 137 miles that Emilia can drive.