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.)
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.