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An business development executive travels extensively for business. Her company offers two options to offset her driving expenses. Option 1 provides a car allowance of 510 dollars per month and a mileage reimbursement of $0.38/mile for fuel, insurance, and maintenance costs. Option 2 provides a mileage reimbursement of $0.65/mile to cover all expenses associated with owning a car.How many miles would she have to drive each YEAR for the two options to be of equal value. Express your answer in miles to the nearest whole mile.

Answer :

Answer: 26667 miles

Step-by-step explanation:

According to the statement,

In option 1 we have 510 dollars per month plus $0.38/mile.

In option 2 we have $0.65/mile

Let x be the number of miles.

For a whole year, the option 1 is 510*12+ 0.38 x

For a whole year, the option 2 is 0.65 x

Equating both, we get

6120 + 0.38 x = 0.65 x

Solving, we get

x= 6120/ 0.27

x= 22666.67

x= 26667 miles

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