The price of an item is initially $700. For the first 2 years the price increases by $35 each year. For the next 7 years the price decreases by $20 per year. From then on the price increases by $35 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.)
(a) When 0 < t 2, the value of P(t) is given by what part of the piecewise-definedfunction?
P(t) =
1
(b) When 2 < t 9 the value of P(t) is given by what part of the piecewise-defined function?
P(t) =
2
(c) When t > 9 the value of P(t) is given by what part of the piecewise-defined function?
P(t) =
3