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

[AI-generated answer — Bot GPT 3.5]

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

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

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

In this case, the points are (4,15) and (8,30). Let's substitute the coordinates into the formula:

slope = (30 - 15) / (8 - 4)
= 15 / 4
= 3.75

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