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Suppose that a company has just purchased a new computer for $3200 The company chooses to depreciate using the straight-line method for 4 years.

Awrite a linear function that expresses the book value of the computer as the function of its age. (slop-intercept form)

Bwhat is the implied domain in of the function found in part (a) (interval notation)

Cgraph the linear equation

d)what is the book value of the computer after 3 years. (near to the nearest dollar)

Ewhen will the computer be worth $1600

Verified Answer :

option A is right answer that is write a linear function that expresses the book value of the computer as the function of its age. (slop-intercept form)

Answer:

Step-by-step explanation:

Given that a company has just purchased a new computer for $3200 The company chooses to depreciate using the straight-line method for 4 years.

Since residual value is not there, we have for 4 years straight line depreciation as 3200/4 = 800 dollars.

i.e. value will be reducing every year 800 dollars

So equation will be

a)\(y =3200-800x\)

where y = value after x years

b)Implied domain is x =0,1,2,3,4 since after that value will be negative which is not practical

c) Enclosed

d) After 3 years book value is

\(y(3) =3200-2400 =800\)

e) When y =1600 we get

\(1600=3200-800x\\x=2\)

After 2 years

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