The price of an item is initially 900 For the first 2 years

The price of an item is initially $900. For the first 2 years the price increases by $15 each year. For the next 6 years the price decreases by $20 per year. From then on the price increases by $15 per year. Find a piecewise-defined function P that specifies the price of the item after y years have passed. Let P(t) = the price of the item in dollars after t years have passed. When 0

Solution

P (t)=900+15 (t) when t=2

P (t)=900+15 (2)=900+30=930

b)p (t)=930-20 (t-2) when 2 lessthan t lessthan 8

P (t)=930-20 (t-2)

P (t)=930-20(8-2)=930-20 (6)=930-120=810

c)p (t)=810+15 (t-8)

P (t)=810+15t-120 = 690+15t