Question

Use the information given below, to compare the cost of operating two different vehicles for one month (4 weeks). You are considering two different cars. You drive to work, a 20 mile round trip, five days a week. Gasoline costs you $1.50 per gallon. Car A gets 28 miles per gallon, would have $300 a year in maintenance costs, and would cost you $1,500 per year to insure. Car B gets 19 miles per gallon, would have $500 a year in maintenance costs, and would cost you $1,000 per year to insure.

Costs Car A Car B
Gas cost per month $ $
Insurance cost per month $ $
Maintenance cost per month $ $
Total cost per month $ $

Answer 1

Explanation:

Answer 2

Car A Car B

Gas cost per month $21.429 $31.579

insurance per month $125 $83.333

maintenance per month $25 $41.667

Total cost per month $171.429 $156.579

Explanation:

we have to drive 20 mile round trip, for five days a week.

that means total number of days in a month we have to drive=5×4=20 days

hence total distance we have to drive in a moth=20×20 miles=400 miles.

Cost of gasoline=$ 1.50 per gallon.

now for Car A:

A gets 28 miles per gallon.

⇒ A has to pay $1.50 for 28 miles

that means the amount he has to pay for 1 mile=$
`(1.50)/(28)`

The amount he has to pay for 400 miles=$
`(1.50* 400)/(28)`

=$21.429

he has to pay $300 a year in maintenance cost.

A has to pay $25 per month in maintenance.

also he has to pay $1500 a year for insurance

i.e. A has to pay $125 per month for insurance.

Total cost per month=$ (21.429+25+125)

=$171.429

for Car B:

B gets 19 miles per gallon.

⇒ B has to pay $1.50 for 19 miles.

that means the amount he has to pay for 1 mile=$
`(1.50)/(19)`

The amount he has to pay for 400 miles=$
`(1.50* 400)/(19)`

=31.579

he has to pay $500 a year in maintenance cost.

A has to pay $41.667 per month in maintenance.

also he has to pay $1000 a year for insurance

i.e. A has to pay $83.333 per month for insurance.

Total cost per month=$ (31.579+41.667+83.333)

=$156.579