SOLUTION: My problem is as follows: I need to write a function of the total amount of payment (P) in the number of t-shirts ordered (N). Here is the word problem: a wholesale store charge

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Question 1010645: My problem is as follows:
I need to write a function of the total amount of payment (P) in the number of t-shirts ordered (N).
Here is the word problem:
a wholesale store charges $20 per t-shirt for the first 50 t-shirts, then $15 per t-shirt for those t-shirts from 51 to 125 t-shirts, and then $12 for each t-shirt from the 125th t-shirt.
I would greatly appreciate any help.
Thanks in advance.
Maria
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let i=0, j=0, k=0
if N < or = 50, then i=N
If N > or = 51 and N < or = 125 then
i=50
j=75
EXIT
if N > 125 then
i=50
j=75
k=(N-125)
EXIT
P = 20i + 15j + 12k
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
My problem is as follows:
I need to write a function of the total amount of payment (P) in the number of t-shirts ordered (N).
Here is the word problem:
a wholesale store charges $20 per t-shirt for the first 50 t-shirts, then $15 per t-shirt for those t-shirts from 51 to 125 t-shirts, and then $12 for each t-shirt from the 125th t-shirt.
I would greatly appreciate any help.
Thanks in advance.
Maria
I believe you meant: "and then $12 for each t-shirt from the 126th  t-shirt."



This is a piece-wise function, as there're different prices for different numbers of t-shirts purchased

Number of t-shirts purchased: N 

If up to 50 t-shirts are purchased, cost is: 20N

If 51 - 125 t-shirts, inclusive, are purchased, cost is: 15(N - 50) + 20(50), or 15N - 750 + 1,000, or 15N + 250

If more than 125 t-shirts are purchased, cost is: 12(N - 125) + 15(125) + 250, or 12N - 1,500 + 1,875 + 250, or 12N + 625



We therefore get:

 

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