Question

hayley and her family are on vacation in new mexico, where they are attending the albuquerque international balloon fiesta. they are renting a car for the trip.

• the base fee to rent the car is $40.
• the car rental company charges an extra $2.50 for every 5 miles the car is driven.

how much will the rental cost if hayleys family drives 195 miles?
$\square$

Explanation:

Step1: Calculate the number of 5 - mile intervals

The number of 5 - mile intervals in 195 miles is \(n=\frac{195}{5}\).

$$n = 39$$

Step2: Calculate the extra cost

The extra cost for driving is \(C_{extra}=2.5\times n\). Substitute \(n = 39\) into the formula:

$$C_{extra}=2.5\times39 = 97.5$$

Step3: Calculate the total cost

The total cost \(C\) is the sum of the base fee and the extra cost. The base fee \(C_{base}=40\). So \(C = C_{base}+C_{extra}\)

$$C=40 + 97.5=137.5$$

Answer:

\(137.5\)