Question

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

Answer 1

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.

Answer 2

After 9 years many years are the total costs for the cars the same.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

Given that:-

• 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?

We can form two-equation for the total cost of the two cars:-

A   =   17655  +   1230y,

B   =   15900  +   1425y

We wish to know when the cost will become the same for both the cars.

A     =     B

15900    +   1425y  =    17655  +    1230y  

Now subtract 15900 from both sides

1425y     =    1230y   +    1755  

Now subtract 1230y from both sides

195y     =    1755  

Now divide both sides by 195

y   =   9 years

Therefore After 9 years, many years are the total costs for the cars the same.

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