Question

A car travels 45 miles per hour on one gallon I gas write an algebraic expression to find the distance the car can travel using x gallons of gas

Answer 1

`y=45x`

`y` represent the distance traveled by the car in
`x` gallons of gas.

Explanation:

Given:

A car travels 45 miles on one gallon of gas.

We need to calculate distance covered by the car in
`x` gallons of gas.

Let
`y` represent the distance traveled by the car in
`x` gallons of gas.

We know that distance traveled by the car directly varies with the amount of gas.

So, we have
`y` ∝
`x`

Thus
`y=kx`

where
`k` represents the distance traveled by car in 1 gallon of gas.

From the data given we know
`k=45`

So, the expression to find the distance the car can travel using
`x` gallons of gas is written as:

`y=45x`