Question

A graph of the cost of gas purchased depending on the number of gallons pumped has the points left parenthesis 4 comma 15 right parenthesis and left parenthesis 8 comma 30 right parenthesis . What is the rate of change in the cost of the gas as each gallon is pumped?

Answer 1

To find the rate of change in the cost of gas as each gallon is pumped, we can use the formula for the average rate of change:

Average rate of change = (change in cost) / (change in gallons)

First, let's calculate the change in cost and change in gallons using the given points:

Change in cost = 30 - 15 = 15
Change in gallons = 8 - 4 = 4

Now, we can calculate the average rate of change:

Average rate of change = 15 / 4 = 3.75

Therefore, the rate of change in the cost of gas as each gallon is pumped is $3.75.