A new car depreciates in value very quickly right after it is driven off the lot

Question

A new car depreciates in value very quickly right after it is driven off the lot. Suppose a new car has the inital value of C dollars, and the value of the car as scrap metal is T dollars. If the life of the car in N years, then the average amount, D, by which the car depreciates in value each year is given by the multivariable function: D(C,T,N)=((C-T)/N).

If the purchase price of the car is $34,000 and the value of the scrap metal is $2000, write a formila for D as a Function of N and give the practical domain D(N)

Explanation / Answer

Ans: Purchase Price (C) = 34,000 , Value of scrap (T) = 2,000 .

As C and T are given D is only a function of N.

D (N) = (34,000 - 2,000)/N = (32,000/N)

Practical domain can be given as from 2 years to 20 years as that's the common life of cars whereas the theoretical domain will be from 0 to maximum years.

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