Question

Annie Healy is leasing a car with an annual mileage cap of 15,000 miles. Mileage over this amount will cost her 15 cents per mile. What penalty will she pay if the car wasleased for 24 months and she drove 35,200 miles?$690$720$840$780None of these choices are correct.

Answer 1

The amount of penalty she would pay is;

`\text{ \$780}`

Step-by-step explanation:

Given that Annie Healy is leasing a car with an annual mileage cap of 15,000 miles.

- Mileage over this amount will cost her 15 cents per mile.

if the car was leased for 24 months and she drove 35,200 miles.

The mileage limit for 24 months/2 years is;

`\begin{gathered} 2*15,000\text{ miles} \\ 30,000\text{ miles} \end{gathered}`

The amount of mileage above the mileage limit for 24 months is;

`\begin{gathered} =35,200-30,000 \\ =5,200\text{ miles} \end{gathered}`

The amount of penalty she would pay will then be;

`\text{penalty P = number of mileage above limit }*\text{ rate of penalty per mileage above limit}`

so, we have;

`\begin{gathered} P=5200\text{ miles }*\text{ 15 cents per mile} \\ P=5200\text{ miles }*\text{ \$0.15 per mile} \\ P=\text{ \$780} \end{gathered}`

Therefore, the amount of penalty she would pay is;

`\text{ \$780}`