Question

Tony works at a lawn care company. He earns $9.25 per x hour(s) plus a $12 bonus for each lawn he mows. Tony mows 10 lawns. He wants to earn at least $342.

Which inequality represents this situation, and which quantities are true for x?

9.25x + 120 ≥
342, where x ≥
24

12.00x + 120 ≥
342, where x ≥
18

9.25x + 120 ≥
342, where x ≤
24

12.00x + 120 ≥
342, where x ≤
18

Answer 1

The inequality that represents this situation is 9.25x + 12(10) ≥ 342, where x is the number of hours Tony works. Simplifying this inequality gives 9.25x + 120 ≥ 342, or 9.25x ≥ 222. Solving for x, we get x ≥ 24. Thus, the correct inequality is 9.25x + 120 ≥ 342, where x ≥ 24.

Therefore, the correct answer is A) 9.25x + 120 ≥ 342, where x ≥ 24.