Question

A new compact car can travel 288 miles on nine gallons of gas. The distance driven in miles y varies directly with the number of gallons of gas x. This situation can be represented by the equation y = 32x.

Answer 1

But what are u tryna get at                                                                                       

Answer 2

Explanation of why
`y = 32x` is correct.

Explanation:

The number of miles that the car can drive can be written as a function of the number of miles that each gallon is capable of by this following function:

`y = ax`

In which a is the number of miles each gallon runs.

A new compact car can travel 288 miles on nine gallons of gas. How many miles can it travel on one gallon? This can be solved by a rule of three.

288 miles - 9 gallons

a miles - 1 gallon

`9a = 288`

`a = 32`

So

y = 32x is a correct representation for this problem, since with each gallon of gas the car can run 32 miles.