Question

At a gas station the price of gas is $2.40 a gallon. Draw a graph to represent the relationship between the cost of gas and the volume purchase. Also write an equation using Y= MX + B form.

Answer 1

What ever you do do not care

Answer 2

Part A) The graph in the attached figure

Part B)
`y=2.40x`

Explanation:

Let

y------> the price of gas

x-----> the volume of gas purchase

we know that

The relationship between the cost of gas and the volume purchase represent a direct variation and remember that a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the constant of proportionality k is equal to

`m=k=2.40(\$)/(gallon)`

and the y-intercept b is equal to zero because the line passes through the origin

`b=0`

therefore

the linear equation is

`y=2.40x+0`

`y=2.40x`

using a graphing tool

see the attached figure