Question

Bradley works as a traveling salesman and leases a car for his business. The leasing company has a base rate for the first 15,000 miles per year, but has an additional charge of $500 + $0.25/mile for each mile over the 15,000. Bradley has already driven 4300 miles in the first three months. If he drives a similar amount for the rest of the year, how much will he have to pay extra? Show all work and explain your answer.

Answer 1

Answer: Bradley has to pay $1050 extra to the leasing company.

Explanation:

Distance traveled by Bradley's car in 3 months i.e.1/4 of year =4300 miles

Distance traveled by Bradley's car in 1 year(12 months) =4 times he drove for 1/4 of year=4×4300=17200 miles

Now,Extra distance covered by car=17200-15000=2200 miles

As there is a additional charge of $500 + $0.25/mile for each mile over the 15,000.

Thus, he has to pay extra amount=$500+$0.25 times extra distance=$500+$(0.25×2200)=$500+$550=$1050

∴ Bradley has to pay $1050 extra to the leasing company.

Answer 2

$1050.00

Explanation:

The leasing company has a base rate for the first 15,000 miles, but has an additional charge of $500+0.25/mile for each mile over the 15,000 miles.

Bradley has already driven 4,300 miles in first three months.

And he drives a similar amount for the rest of the year. So we can calculate on an average how much distance does he cover each month:

So he has driven 4,300 miles in three months, on an average the distance he drives a month, is:

`(4300)/(3)=1433.33` miles

So over 12 months he drove:

`1433.33* 12=17200` miles

Now, for first 15,000 miles he needs to pay some base rate. Now we will calculate how much extra has he driven beyond 15,000 miles.

So he has driven:

`17200-15000=2200`

He has driven 2,200 miles extra beyond first 15,000 miles.

So the additional amount he needs to pay is:

`\$500+\$(0.25* 2200)=\$500+\$550=\$1050.00`

Therefore, the additional amount that is in addition to the base rate that he needs to pay is $1050.00.