A copier purchased new for $4,800 depreciates in value $500 each year. The function that models this equation is [enter answer]. The rate of change for the function is [enter answer]. The model predicts that the value of the copier after 3 years will be [enter answer]. The model predicts that the value of the copier after 7 years will be [enter answer]
The function that models this equation is:
f(x) = 4800 - 500x
The rate of change for the function is:
-500 (since the value depreciates $500 each year)
To find the value of the copier after 3 years, we substitute x = 3 into the function:
f(3) = 4800 - 500(3) = 4800 - 1500 = 3300
Therefore, the value of the copier after 3 years will be $3300.
To find the value of the copier after 7 years, we substitute x = 7 into the function:
f(7) = 4800 - 500(7) = 4800 - 3500 = 1300
Therefore, the value of the copier after 7 years will be $1300.