If you drive 45 miles and have 15 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 153 miles you have 11 gallons left. What is your rate?

       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 =

                                              =

                                              = 27 miles per gallon

    Hence, rate at which the car is moving is 27 miles per gallon.

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