The price of an item is initially $700. For the first 2 years the price increase

Question

The price of an item is initially $700. For the first 2 years the price increases by $30 each year. For the next 5 years the price decreases by $25 per year. From then on the price increases by $25 per year. Find a piecewise-defined function P that specifies the price of the item after t years have passed. Let P(t) = the price of the item in dollars after t years have passed. (Note: Do not use $ signs within your answers.)

(c) When t > 7 the value of P(t) is given by what part of the piecewise-defined function?

Explanation / Answer

P(t)=700+ 30t , 0<t<=2

P(t)= 700+30*2 - 25(t-2), 2<t<=7

P(t)= 810-25t,2<t<=7

P(t)= 810-125+25(t-9), t>7

P(t)= 460+25t, t>7

c. For c, we use P(t)=460+25t

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