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
To find the rate of change in the cost of gas as each gallon is pumped, we can 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) can be found using the formula:
slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)
Using the given points (4,15) and (8,30):
slope = (30 - 15)/(8 - 4) = 15/4 = 3.75
Therefore, the rate of change in the cost of the gas as each gallon is pumped is 3.75.