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Math Homework- Solving equations?
The cost ( C ) and income ( I ) for making and selling T-shirts with a school logo are given by the equations C=$535+4.50n and i=$12n , where n is the number of shirts.
a) How many T-shirts must be bought and sold to break even? Explain
b)Suppose only 50 shirts are sold. Is there a profit or loss? Explain.
c) suppose the income is $1200. Is there a profit or loss? Explain.
d.i) For each equation, find the coordinates of a point that lies on the graph of the equation.
ii) What information does this point give?
iii) Describe how to use the equation to see that the point will be on the graph.
1 Answer
- ranjankarLv 78 years agoFavorite Answer
Let the no of shirts to be sold to break even be x
a) Cost = 535 + 4.50x
Sales = 12x
12x = 4.50x +535
7.5x = 535
x = 71.33
ANSWER = 72 shirts
b) 50 shirts sold means loss
535 + 4.50*50 = 535 +225 = 760 $ = cost
sales = 50 X 12 = $600
Loss $160
c) C = 535 + 4.50n
1200 = 535 + 4.50n
1200 -535 = 665 =4.50n
n = 147.77 shirts
ANSWER profit ( because break even is 72 shirts)
