The price of an item is initially $900. For the first 4 years the price increases by $35 each year. For the next 4 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.)

When 0

Question

The price of an item is initially $900. For the first 4 years the price increases by $35 each year. For the next 4 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.)

When 0 < t < or = 4, the value of P(t) is given by what part of the piecewise-definedfunction?
 
P(t) =

anonymous · Answer

$$0<t<4; 900+35t$$$$4<t<8; 1040-20t$$$$8<t<\infty; 960+35t$$

from 0<t<= 4, the first piecewise function is the answer

anonymous · Answer

sorry for some reason the format is bad, but you can still read the functions

anonymous · Answer

im sorry. which one? 900+35t?

anonymous · Answer

yes

anonymous · Answer

that should be the function for 0 to 4

anonymous · Answer

all I did was take the original value of 900, and than took how that value changed over the first 4 years (increases by 35/year), so this gives 900+35t

anonymous · Answer

oh okay