Question

the equation $m = 40g$ gives the distance in miles, $m$, that a car can travel using $g$ gallons of gas.
part a
if the car had gone 140 miles, how much gas was used?
type the answer in the box below.
\boxed{} gallons

part b
write an equation that represents the inverse function: the gallons of gas as a function of distance in miles.
type the answer in the box below.
\boxed{}

Explanation:

Part A

Step1: Substitute m = 140 into the equation

We have the equation \( m = 40g \). Substitute \( m = 140 \) into it, we get \( 140 = 40g \).

Step2: Solve for g

To solve for \( g \), divide both sides of the equation by 40: \( g=\frac{140}{40} = 3.5 \).

Step1: Start with the original equation

The original equation is \( m = 40g \).

Step2: Solve for g in terms of m

To find the inverse function (gallons as a function of miles), we solve \( m = 40g \) for \( g \). Divide both sides by 40: \( g=\frac{m}{40} \).

Answer:

3.5

Part B