Question

the cote family car gets between 25 and 29 miles per gallon of gasoline the fuel tank holds 17 gallons of gasoline and the cotes refill the tank whenever it is 1/4 full the cost of gasoline will be 3.46 and 3.69 per gallon
A) write expressions to estimate the amount they will pay for gasoline and the number of times they will need to stop for gas for a trip of m miles. Justify the choice of numbers you use In your expressions.
B) Denver 1004 miles from Chicago. For a round trip from Denver to Chicago, how much should they budget for gas? How many times can they expect to stop for gas on the trip? Explain your reasoning.

Answer 1

A. d = 2 * 1004 = 2008 miles.
2008mi/(25mi/gal) = 80.32 gal, max required.

B. 80.32gal * 3.69/gal = $296.38 = Budget for gas.

They fill-up each time they use 3/4 of a tank of gas(12.75 gal).
12.75gal * 25mi/gal = 318.75 miles/fill-up.

2008mi/(318.75mi/fill-up) = 6.3 or 7 fill-ups for the round trip.