Linear Equation Word Problems

Question

Cecilia rents a moving truck that uses a gallon of gas every 10 miles for $29.95 per day. She incurs an additional charge of $0.89 for each mile traveled and must return the truck with the same amount of gas in the tank as when she rented it. Cecilia travels x miles and replaces the gas she used with gas that costs $2.25 per gallon. She returns the moving truck on the same day, and calculates that she spent a total of $65.63 on gas and rental fees. Which of the following equations best models the situation?

Answer Choices:

A. 29.95+0.89x=65.63

B. 29.95+0.89x+2.25x=65.63

C. 29.95+0.89x+2.25(x/10​)=65.63

D. 29.95+0.89x+2.25(10x)=65.63

29

Answer 1

all the choices are the same except for the term that should give the cost of gas

the cost of gas is not 2.25x so that narrows it down to C or D

the cost of gas is 2.25 times mpg = 2.25 times x/10 if the trucks mileage is 10 miles per gallon

C is correct

B would have meant 1 mpg

D would mean 1/10 of a mile per gallon

the problem states 10 mpg