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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.

1 Answer

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Answer:

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

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

At a gas station the price of gas is $2.40 a gallon. Draw a graph to represent the-example-1
User Matt Spinks
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