SOLUTION: You and your friends want to open a company to sell "Math is fun" t-shirts. Each shirt costs $5 and you sell them for $9.50. Please show all work. a.Write a function that represen

Algebra ->  Functions -> SOLUTION: You and your friends want to open a company to sell "Math is fun" t-shirts. Each shirt costs $5 and you sell them for $9.50. Please show all work. a.Write a function that represen      Log On


   



Question 173001: You and your friends want to open a company to sell "Math is fun" t-shirts. Each shirt costs $5 and you sell them for $9.50. Please show all work.
a.Write a function that represents how much money would you spend if you buy x number of t-shirts.
b. Write a function that represents the total money you would make selling x number of t-shirts.
c. Using part a and b. Write a function rule for your profit.
d. Create a function table for your above function. Is the function of direct variation or indirect variation? If so, write the function in form of a direct or indirect equation.
Can you please help me because I'm having a lot of problems with this type of algebra?
Thank you very much.

Found 2 solutions by Mathtut, josmiceli:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
a) let C=cost C=5x..where x is the number of shirts
:
b)Let let R=revenue ....R=9.5%28x%29
:
c)P=9.5%28x%29-5%28x%29=4.5%28x%29
:
d)I will leave the tables to you
:
I believe this is a direct variation

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c%28x%29= cost of tee-shirts
Let m%28x%29= money made selling tee-shirts
c%28x%29+=+5xdollars
m%28x%29+=+9.5xdollars
Let p%28x%29+=+m%28x%29+-+c%28x%29 where p%28x%29 is profit
p%28x%29+=+9.5x+-+5x
p%28x%29+=+4.5x
This is read: p as a function of x equals 4.5x
This is a direct variation, since if x increases 1% or
any percent, p%28x%29 increases the same percent
----------
x -- p(x)
-----------
1 -- 4.5
2 -- 9
3 -- 13.5
Notice that when x went from 2 to 3 it increased 50%
and p(x) went from 9 to 13.5, also increasing 50%