Rate at which the car is moving is 27 miles per gallon.
If we plot gallons of gas remaining in the tank at x-axis and miles driven on y-axis, points will form a linear graph.
After driving 45 miles, 15 gallons of the gas remaining in the tank will represent a point (15, 45).
Similarly, after 153 miles gas,11 gallons of the gas remaining in the tank will form a point (11, 153).
Slope of the line joining these points will represent the rate.
Therefore, slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{153-45}{15-11}[/tex]
= 27 miles per gallon
Hence, rate at which the car is moving is 27 miles per gallon.
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