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?

Answer 1

To find the rate of change in the cost of gas as each gallon is pumped, we need to calculate the slope of the line passing through the two given points.

Let's use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

In this case, the points are (x1, y1) = (4, 15) and (x2, y2) = (8, 30).

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

slope = 15 / 4

slope = 3.75

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