Question

Ahmad wants to earn at least 44 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible numbers of hours Ahmad could trim trees?

Answer 1

Ahmad must work at least 8 hours to earn a minimum of $44, after accounting for his $4 equipment fee. This is found by setting up an inequality, 6h - 4 ≥ 44, and solving for h to get h ≥ 8.

Step-by-step explanation:

To determine the possible number of hours Ahmad could trim trees to earn at least $44, we set up an inequality that represents Ahmad's earnings. Ahmad charges $6 per hour and pays a $4 equipment fee each time he trims trees. His earnings (E) can be calculated by:

E = 6h - 4

where h is the number of hours worked. The inequality then becomes:

6h - 4 ≥ 44

To find the number of hours, we solve this inequality step by step:

1. Add 4 to both sides to isolate the term with the variable: 6h ≥ 48.
2. Divide both sides by 6 to solve for h: h ≥ 8.

The solution to the inequality indicates that Ahmad must work at least 8 hours to earn a minimum of $44 after paying the equipment fee.