Question

Xavier is driving home. He starts 250 miles from home and his car can travel 28 miles per gallon of gasoline he uses. Xavier stops at a rest stop that is 100 miles from home. Let g be the amount or gas he has used at that point. Set up and solve an equation for how much gas Xavier used to get to the rest stop.

Answer 1

For 100 miles he uses 3.571 gallons of gasoline.

In equation form it is y/x*100

Explanation:

Unitary Method

He travels 28 miles per gallon of gasoline.

For 1 mile he uses 1/28 gallons

For 100 miles he uses 1/28 * 100= 100/28= 3.571 gallons of gasoline.

Let x be the miles and y be the gallons of gasoline used to travel x miles.

Then for 1 mile the gallons of gasoline used will be y/ x gallons.

For 100 miles the gallons of gasoline used will be y/x *100 gallons.

In equation form it is y/x*100 gallons for 100 miles where x is the number of miles and y is the amount of gallons.