Question

Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?

Answer 1

A

Explanation:

16.5x=465.3

Answer 2

`y=28.5x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

`m=(465.3)/(16.5)= 28.2(miles)/(gallon)`

therefore

the equation of the linear equation

`y=28.5x`