AnswersAL-Algebra I with Probability Critical StandardsModeling with Two-Variable Linear Inequalities — Unit testQuestion 19
19
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Modeling with Two-Variable Linear Inequalities — Unit test

Question 19 • AL-Algebra I with Probability Critical Standards

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 = 36xHow many purses must she sell in order to break even?

Answer
A
5
B
6
C
7
D
8

Explanation

At the break-even point, her total costs equal her sales revenue: 208 + 10x = 36x. Subtract 10x from both sides to get 208 = 26x, so x = 208 ÷ 26 = 8. She must sell 8 purses, which is choice D.

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