Question

Sarah's car gets 24 miles per gallon of gas in the city and 32 miles per gallon on the highway. If her car has a 15-gallon gas tank, write a compound inequality to describe the range of distances, in miles, that her car can travel using a full tank of gas.

a) 24⋅15≤Distance≤32⋅15
b) 32⋅15≤Distance≤24⋅15
c) 24⋅15≥Distance≥32⋅15
d) 32⋅15≥Distance≥24⋅15

Answer 1

The correct answer is a) 24⋅15≤Distance≤32⋅15.

The range of distances, in miles, that Sarah's car can travel using a full tank of gas can be expressed as a compound inequality.

Since Sarah's car gets 24 miles per gallon in the city and 32 miles per gallon on the highway, the range of distances she can travel using a full tank of gas is 24⋅15≤Distance≤32⋅15.

This means that the distance she can travel is at least 24⋅15 miles (the minimum distance she can travel if she only drives in the city) and at most 32⋅15 miles (the maximum distance she can travel if she only drives on the highway).