Suppose that a company had just purchased a new computer for $3500. The company chooses to depreciate using the straight-line method for 5 years.

Question

 

Write a linear function that expresses the book value of the computer as a function of its age.

What is the implied domain? 

What is the book value of the computer after 4 years? 

When will the computer be worth $1400?

Answer 1

y=3500-(1/5)(3500)x

 

the implied domain is 1≤x≤5

 

y= the book value of the computer

x= number of years depreciated

 

y=3500-700x

 

the book value of the computer after 4 years (x=4)

y=3500-700(4)=$700

 

when the computer worth $1400 (y=1400) is:

1400=3500-700x ----->x=2100/700=3

the computer will worth $1400 after 3 years