precal question

Question

A rental company charges $65 a day and 20 cents a mile for renting a truck. Michael rents a truck for 3 days, and his bill came to $276. How many miles did he drive?

Answer 1

Hello, Viviana,

We know that the truck was $65/day and Michael had it for 3 days. So the charge for the 3 days is 3 * $65 = $195. The means the rest of the charge ($81) was spend on mileage at $0.20/mile. To determine the number of miles needed to reach $81, divide the $81 by the cost per mile:

$81/$0.20/mile

The $ signs cancel and the miles unit moves to the top, producing a value of 405 miles.

To check it, multiply 405 miles X $0.20/mile = $81. Then add the $195 charge for the 3 days.

$81 + $195 = $276: The figure of 405 miles is therefore correct.

Bob

Answer 2

x = number of days

y = number of miles

bill is 65 * x + 0.20 * y

we are told x = 3 and the bill total is 276 so

65 *3 + 0.20 * y = 276

195 + 0.20y = 276

0.20y = 81

y = 405 (miles)