Question

A graph of the cost of gas purchased depending on the number of gallons pumped has the points (4,15) and (8,30). What is the rate of change in the cost of the gas as each gallon is pumped?(1 point) $ ______ per gallon

Answer 1

To find the rate of change in the cost of gas per gallon, we can use the formula for slope:

slope = (change in y) / (change in x)

In this case, the change in y represents the change in cost of gas, and the change in x represents the change in number of gallons pumped.

Using the given points (4,15) and (8,30), we can calculate the slope as:

slope = (30 - 15) / (8 - 4)
= 15 / 4

Therefore, the rate of change in the cost of gas as each gallon is pumped is $15/4 per gallon.