tiyleah has a cousin fantasia in france . both families recently bought new cars and the two girls are comparing how fuel efficient the two cars are . tiyleah explains to fantasia that her family's car is getting 40 miles per gallon. fantasia has no idea how that compares to her family's car because in france mileage is measured differently. she tells tiyleah that her family's car uses 7 liters per 150 km . which car is more fuel efficient. List all conversion ratios/factors needed to answer this question. Show all work in finding which car is more fuel efficient.

The comparison can be done by observing the distance traveled by the cars in an equal amount of fuel. The car which covers more distance in an equal amount of fuel is more fuel-efficient.

First, convert the given units to have the same unit of measurement,

As 1 gallon =3.7854 liters and 1 mile = 1.609344 km

So, 40 miles =40 x 1.61=64.40 km

Now, The distance covered by Tiyleah's family's car is 64.40 km in 3.7854 liters.

So, the distance covered by Tiyleah's family's car in 1 liter of fuel is [tex]\frac{64.40}{3.7854}=17.01[/tex] km

In a similar way,

As Fantasia's family's car uses 7 liters per 150 km.

So, the distance traveled by Fantasia's family's car in 1 liter of fuel =150/7=21.43 km

Observe that, in 1 liter of fuel, Tyleah's family's car covered 17.01 km while Fantasia's family's car covered 21.43 km which is more.

Hence, Fantasia's family's car is more fuel-efficient.