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# A toy company wishes to earn more than $22,205 in profits for the month. If it is guaranteed to earn $45, but also earns $8.50 per unit sold, what is the minimum number of units the company must sell in order to meet its goal? (Units can only be sold as whole numbers.)

Question:

A
2613

Explaination

Translate the question into a linear inequality.

22,205 < 8.5x + 45. Solve for *x*

(22,205-45) < 8.5x, or 22,160 < 8.5x, or

2607.05 < x and, because *x* can only be sold as whole units, the company must sell 2613.

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