Question

DU

4. A computer initially worth $2,000 depreciates by about $275 per year.
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a. Write the equation that models this situation.
b. Use the equation to predict the cost of this computer after 6 years
work below.

Answer 1

a) W(x) = 2, 000 - 275 x represents the given situation.

b) The cost of the computer after 6 years is $350.

Explanation:

Initial worth of the company = $2,000

Depreciation each year = $275

Let, W(x) represent the worth of the computer in x - th year.

So, according to the question:

a) W(x) = 2, 000 - 275 x represents the given situation.

b) Solving W(x) for x = 6, we get

W(6) = 2,000 - 275(6) = 2, 000 - 1,650

= 350

⇒W(6) = $350

Hence, the cost of the computer after 6 years is $350.