To find the rate of change in the cost of gas per gallon pumped, we need to calculate the slope of the line connecting the two given points (4,15) and (8,30).
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Applying this formula to the given points, we have:
slope = (30 - 15) / (8 - 4)
slope = 15 / 4
So, the rate of change in the cost of gas as each gallon is pumped is 15/4.
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
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