Question

Juan rented a truck for one day. There was a base fee of $11.00, and there was an additional charge of 6 cents for each mile driven. The total cost, c (dollars), for driving x miles is given by the following function: c(x) = 11.00 + 0.06x. What is the total rental cost if Juan drove 20 miles?

Answer 1

To find out the total rental cost for Juan who drove 20 miles, we use the function provided (c(x) = 11.00 + 0.06x) and plug in the value of x, resulting in a total cost of $12.20.

Step-by-step explanation:

To calculate the total rental cost for Juan who drove 20 miles using the truck, we need to use the given function c(x) = 11.00 + 0.06x. Here, x represents the number of miles driven, and the function c(x) represents the cost in dollars. The base fee is a fixed charge, and the variable charge is dependent on the miles driven.

In this case, the equation will be c(20) = 11.00 + 0.06(20).

First, let's calculate the charge for the miles driven: 0.06 × 20 = 1.20.

Add this to the base fee to find the total cost:

• 11.00 (base fee) + 1.20 (charge for miles driven) = 12.20.

Hence, the total rental cost if Juan drove 20 miles is $12.20.