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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.

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

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

c) graph the linear equation

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

e) when will the computer be worth $1600

Respuesta :

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)[tex]y =3200-800x[/tex]

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

[tex]y(3) =3200-2400 =800[/tex]

e) When y =1600 we get

[tex]1600=3200-800x\\x=2[/tex]

After 2 years

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