CPM Homework Help : PC3 Problem 11-159

Write and solve an absolute value inequality for the following situation.

The gas consumption of a particular car averages $30$ miles per gallon on the highway, but the actual mileage varies from the average by at most $4$ miles per gallon. How far can the car travel on a $12$ -gallon tank of gas?

Hint:

Let $m = \text{miles}$ . Since the information given is in miles per gallon, write an inequality where all terms represent miles per gallon.

More Help:

$\text{actual mileage − predicted average milage = mpg variance}$