Question

Hans rented a truck for one day. There was a base fee of $15.95, and there was an additional charge of 77 cents for each mile driven. Hans had to pay

$207,68 when he returned the truck. For how many miles did he drive the truck?

Answer 1

Answer: 249 miles

Explanation:

First write a function that represents the amount paid for renting a truck:

• Set x as each mile driven.
• Set y as the total amount paid.
• $15.95 is the base fee paid no matter the mile, meaning the rent start at $15.95, not 0.

Function: y = mx + b

• m = slope = amount paid for each mile driven = 77¢ = $0.77
• b = y-intercept = amount paid when 0 miles driven = base fee = $15.95

y = 0.77x + 15.95

He paid a total of $207.68, therefore y = 207.68:

207.68 = 0.77x + 15.95

Solve the equation for x:

207.68 - 15.95 = 0.77x

191.73 = 0.77x

x = 249 miles driven