Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x

How many purses must she sell in order to break even?
5
6
7
8

Question

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x

How many purses must she sell in order to break even?
5
6
7
8

anonymous · Answer

c(x)=208+10x 
r(x)= 36
P(x)= 36x-(208+10x)....which equals 26x-208.
If you set that equal to zero, you get the answer 8.