Question

Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality in two variables could be used to represent where Suzette's charges, S, would be at most that of her competitor's charges?​

Answer 1

The inequality for Suzette's charges, S, to be at most that of her competitor's charges, based on the competitor's fee of $35 per hour plus a $42 supply fee, is S ≤ 42 + 35x.

Step-by-step explanation:

To determine the inequality representing where Suzette's charges, S, would be at most that of her competitor's charges, we need to model the competitor's charges as an inequality. The competitor charges a $42 cleaning supply fee and $35 per hour. If x represents the number of hours worked, then the total charge by the competitor, C, would be C = 42 + 35x. To ensure Suzette's charges are at most that of her competitor's, her charges S must satisfy the inequality S ≤ 42 + 35x.