Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same? a. 5 years c. 9 years b. 7 years d. 11 years

Question

Mathematics

Isabelle Ferguson

22 January, 17:27

Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same? a. 5 years c. 9 years b. 7 years d. 11 years

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Answers (2)

Know the Answer?

Gordon Todd · Answer 1

The answer is C.

C. 1230 x 9=11070

11070+17655=28725

1425 x 9 = 12825

12825+15900=28725

Xander Payne · Answer 2

A=17655+1230y, B=15900+1425y

We wish to know when A=B so:

15900+1425y=17655+1230y subtract 15900 from both sides

1425y=1230y+1755 subtract 1230y from both sides

195y=1755 divide both sides by 195

y=9

So in 9 years both cars would cost the same.