Question

A gas station customer pumps exactly six gallons

of gas and pays $19.50. A second customer pays
$71.50 for 22 gallons of the same type of
gasoline at the same station.

A. On the grid below, graph the relationship
between gallons, g, and cost, C, that is
represented by the two purchases

Answer 1

Please find attached the graph of the relationship between the gallons, g, and cost, C

The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g

Explanation:

The given parameters are;

Number of Gallons, g
`{}` Cost, C

6
`{}` $19.50
`{}`

22 $71.50

From the given coordinates, we generate the graph using Microsoft Excel, as seen in the attached graph

The given coordinates can be used to find the equation of the relationship in point and slope form as follows;

The slope of the the given coordinates are (71.5 - 19.5)/(22 - 6) = 3.25

The equation of the graph in point and slope form is C - 71.5 = 3.25·(g - 22)

C - 71.5 = 3.25·(g - 22)

C = 3.25·g - 3.25 × 22 + 71.5 = 3.25·g - 0

C = 3.25·g

The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g

From the above equation, we have, that the price per gallon is $3.25