Question

PLEASE HELP SHOW WORK

Sadie has a cousin Nanette in Germany. Both families recently bought new cars and the two girls are comparing how fuel efficient the two cars are. Sadie tells Nanette that her family’s car is getting 42 miles per gallon. Nanette has no idea how that compares to her family’s car because in Germany mileage is measured differently. She tells Sadie that her family’s car uses 6 liters per 100 km. Which car is more fuel efficient?

(1 mile = 1.609 km and 1 gallon = 3.79 liters)

Answer 1

Sadie's family car is more fuel efficient.

Explanation:

Given;

Sadie's family car rating, S = 42 miles per gallon

Nanette's family car rating, N = 6 liters per 100 km

Sadie's family car rating, in liters per 100 km

`= (42 \ miles)/(gallon) *(1.609 \ km)/(1 \ mile)*(1 \ gallon)/(3.79 \ liters) \\\\ = ((42*1.609)/(3.79) )(km)/(liter)\\\\ = ((3.79)/(42*1.609) )(liter)/(km)\\\\=((3.79)/(42*1.609) )((100)/(100)) (liter)/(km)\\\\= ((3.79*100)/(42*1.609) )((1)/(100)) (liter)/(km)\\\\= ((3.79*100)/(42*1.609) ) (liter)/(100\ km)\\\\= 5.61 ((liter)/(100\ km))\\\\= (5.61 \ liters)/(100 \ km)`

Also, Nanette's family car rating, in liters per 100 km = 6 liters / 100km.

Thus, Sadie's family car uses lesser fuel, because of this Sadie's family car is more fuel efficient.