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Which of the following could be represented by the inequality?

A. Sally makes bracelets to sell. Her profit for each bracelet sold is $5, and she has already sold 30 bracelets. How many more bracelets must Sally sell if she wants to make more than $150?
B. Sally makes bracelets to sell. Her profit for each bracelet sold is $5, and she has already sold 30 bracelets. How many more bracelets must Sally sell if she wants to make a minimum of $150?
C. Sally makes bracelets to sell. Her profit for each bracelet sold is $5, and she has already sold 6 bracelets. How many more bracelets must Sally sell if she wants to make more than $150?
D. Sally makes bracelets to sell. Her profit for each bracelet sold is $5, and she has already sold 6 bracelets. How many more bracelets must Sally sell if she wants to make a minimum of $150?

1 Answer

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Final answer:

Option B reflects an inequality that represents Sally's goal to make a minimum of $150 from selling bracelets, as any additional sales would help her reach or surpass her goal without specifying the need for profit beyond $150. The correct option is B. Sally makes bracelets to sell. Her profit for each bracelet sold is $5, and she has already sold 30 bracelets. How many more bracelets must Sally sell if she wants to make a minimum of $150?

Step-by-step explanation:

The inequality that would represent Sally's situation is Option B. In this scenario, Sally wants to make a minimum of $150 by selling bracelets, with a profit of $5 per bracelet.

Since Sally has already sold 30 bracelets, her current earnings are $150 ($5 × 30). The question asks how many more bracelets must she sell to reach or exceed this amount without specifying a need for additional profit beyond $150.

An inequality such as Sally’s current earnings + $5 × (number of additional bracelets) ≥ $150 would suit this condition.

Conversely, Option A indicates that Sally wants to make more than $150, which would result in a different inequality.

The correct option is B. Sally makes bracelets to sell. Her profit for each bracelet sold is $5, and she has already sold 30 bracelets. How many more bracelets must Sally sell if she wants to make a minimum of $150?

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