A family wishes to buy a new midsize automobile. The two options they consider are (a) a standard automobile with an SI engine that gets 31 miles per gallon fuel economy (mpg) and costs $18,000; and...

A family wishes to buy a new midsize automobile. The two options they consider are (a) a standard automobile with an SI engine that gets 31 miles per gallon fuel economy (mpg) and costs $18,000; and (b) a hybrid automobile that gets 82 mpg and costs $32,000. On average, the family drives 16,000 miles each year, and gasoline costs $1.65 per gallon. Calculate:

(a) Amount of gasoline each vehicle would use each year. [gal]

(b) Gasoline cost savings of hybrid over standard. [$/year]

(c) Time it would take to make up the difference in vehicle cost, with fuel savings. Disregard any interest on car loans and time-worth of money. [months]