The depreciated value V of a machine is a linear function of

The depreciated value V| of a machine is a linear function of time t| in years. A machine that is purchased for $ 100000| today will be worth approximately $ 49665| in 5| years. Write the linear function V(t)|that represents the value of the machine at a given time t.

Solution

solution:

initial price of the machine= 100000$

after 5 years price of machine=49665$

decrease in price in 5 years= 100000-49665=50335$

now decrrease in price per year= 50335/5=10067$

hence price of machine at any time t is

V(t)=100000 - (10067)*t