Question

Check Your Understanding!

1. A Ford Escape has a 14-gallon fuel tank and can travel approximately 26 miles with one gallon of
gas, Write a function d(x), that gives the distance the Escape can travel with x gallons of gas in
the tank.

Answer 1

Given :

Maximum capacity of fuel tank , M = 14 gallon .

It can travel approximately 26 miles with one gallon of gas.

To Find :

A function d(x), that gives the distance the Escape can travel with x gallons of gas in the tank.

Solution :

Car can travel 26 miles in one gallon of gas.

So , distance covered in x gallon of gas :

`D(x)=26x`

( Here, 0 ≤ x ≤ 14 ) or x ∈ [ 0 , 14 ] .

Hence , this is the required solution.