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)

1 answer

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 points (4, 15) and (8, 30).

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

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

Plugging in the values from our points (4, 15) and (8, 30), we get:

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

Therefore, the rate of change in the cost of gas as each gallon is pumped is 3.75. This means that for every gallon of gas pumped, the cost increases by $3.75.

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