Question

Emilio’s truck has a gas tank that holds 25 gallons of gas and can travel 400 miles without refilling the gas tank. The graph below shows the amount of gas remaining in Emilio’s truck after he has driven a certain number of miles. Which of the following best describes a reasonable range for this situation

Answer 1

`Range: 0 \le y \le 400`

Explanation:

Given

`Gas = 25 gallons`

`Distance = 400miles` --- max

Required

The range of the function

The graph is not given; however, the question can be answered without the graph.

From the question, we understand that the truck can hold up to 25 gallons.

This represents the domain (i.e. from 0 to 25)

When the truck is empty (i.e. no gas in it), the truck cannot move any distance (0 miles).

When the truck is filled up (i.e. 25 gallon), the truck can move up to 400 miles.

This represents the range (i.e. from 0 to 400 miles)

Hence, the range is:

`Range: 0 \le y \le 400`