Gas mileage: The distance d, in miles, that you can travel without stopping for gas depends on the number of gallons g of gasoline in your tank and the gas mileage m, in miles per gallon, that your car gets. The relationship is
a. How far can you drive if you have 12 gallons of gas in your tank and your car gets 24 miles per gallon?
b. Solve Equation (2.5) for m.
i. Explain in everyday terms what this new equation means.
ii. Use this equation to determine the gas mileage of your car if you can drive 335 miles on a full 13-gallon tank of gas.
c. A Detroit engineer wants to be sure that the car she is designing can go 425 miles on a full tank of gas, and she must design a gas tank to ensure that. She does not yet know what gas mileage this new-model car will get, and so she decides to make a graph of the size of the gas tank as a function of gas mileage.
i. Solve Equation (2.5) for g using 425 for the distance.
ii. Make the graph that the engineer made. Is it a straight line?