Question

The relationship between the number of gallons of premium gasolineand the price in dollars is shown in the graph. What is the unit priceof premium gasoline?OA. 1Gal/$4OB. $8/2GalOC. $4/1GalOD. $1/4Gal

Answer 1

answer is C

Explanation:

Answer 2

C. $4/1Gal

Explanation

Step 1

we have the graph of a line, where

y-axis represents the cost ( in dollars)

x-axis represents the Volume ( gallons)

hence, to find the unit price we need to find the slope of the line:

a)when you know 2 points from a lines, P1 and P2, you can find the slope by using this formula:

`\begin{gathered} \text{slope}=\frac{change\text{ in y }}{\text{change in x}} \\ \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}`

then, we need to pick up 2 points from the line

Let

P1(0,0)

P2(5,20)

Now, replace in the formula.

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(20dollars-0)/(5gallons-0)=4\text{ }\frac{dollars}{\text{gallon}} \end{gathered}`

therefore, the answer is

`c)\text{ }4\text{ }\frac{dollars}{\text{gallon}}=\frac{4\text{ dollars}}{1\text{ gallon}}`

I hope this helps you