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 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'll calculate the slope of the line that passes through the given points.
Slope, or rate of change, can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the given points in:
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. This means that for each gallon pumped, the cost of gas increases by $3.75.