Question

You put 15 gallons of gasoline in your car. you know that this amount of gasoline will allow you to drive about 450 miles. write and graph an equation to represent each situations.

Answer 1

The required equation is y=30x.

Explanation:

It is given that we can drive 450 miles in 15 gallons of gasoline.

The number of miles covered by a car in 1 gallons of gasoline is

`(450)/(15)=30`

It means a can cover 30 miles in 1 gallons of gasoline.

Let x be the number of gallons of gasoline and y is distance. So, the required equation is

`y=30x`

where, 0 ≤ x ≤ 15 and 0 ≤ y ≤ 450.

The table of values is

x y

0 0

5 150

10 300

15 450

The graph of above equation is shown below.

Answer 2

Below is the equation, hope it helps :)

Let y = distance that you can travel

We know that there are 30 miles per gallon

let x = number of gallons needed

so if initially, we can travel 450 miles, the equation will be:

y = 30x+450