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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 given points.
Using the slope formula, we have:
slope = (y2 - y1) / (x2 - x1)
Given points: (4,15) and (8,30)
x1 = 4, y1 = 15
x2 = 8, y2 = 30
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.