audi produces a hybrid - electric car called the audi rs q8. the rs q8 has both a gasoline - powered engine…

audi produces a hybrid - electric car called the audi rs q8. the rs q8 has both a gasoline - powered engine and an electric motor and has an epa gas mileage rating of 13 mi per gallon on the highway. 1 gal = 3.785 l, 1 km = 0.6214 mi. part a what is the rs q8s rating in kilometers per liter? express your answer in kilometers per liter to two significant figures.

audi produces a hybrid - electric car called the audi rs q8. the rs q8 has both a gasoline - powered engine and an electric motor and has an epa gas mileage rating of 13 mi per gallon on the highway. 1 gal = 3.785 l, 1 km = 0.6214 mi. part a what is the rs q8s rating in kilometers per liter? express your answer in kilometers per liter to two significant figures.

Answer

Explanation:

Step1: Convert miles to kilometers

We know that 1 km = 0.6214 mi, so 1 mi=\frac{1}{0.6214} km. The car has a mileage of 43 mi/gal. In terms of km/gal, it is 43\times\frac{1}{0.6214} km/gal.

Step2: Convert gallons to liters

We know that 1 gal = 3.785 L. To convert from km/gal to km/L, we divide the value in km/gal by 3.785. So the mileage in km/L is \frac{43\times\frac{1}{0.6214}}{3.785} km/L. [ \begin{align*} \frac{43\times\frac{1}{0.6214}}{3.785}&=\frac{43}{0.6214\times3.785}\ &=\frac{43}{2.352}\ &\approx18 \end{align*} ]

Answer:

18 km/L