Question

Justin wants to earn at least $67 trimming trees. He charges $7 per hour and pays $3 in equipment fees. What are the possible numbers of hours Justin could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t.

Answer 1

Justin needs to work at least 10 hours trimming trees to earn at least $67 after paying a $3 equipment fee, as calculated by the inequality 7t - 3 >= 67 which simplifies to t >= 10.

Step-by-step explanation:

To find the possible numbers of hours Justin could trim trees while reaching his goal income of at least $67, we start by setting up an equation to represent his earnings.

Justin earns $7 per hour (t) and pays a one-time fee of $3 for equipment. So, the inequality representing his earnings would be:

7t - 3 ≥ 67

We can solve this inequality for t by adding 3 to both sides and then dividing by 7:

1. Add 3 to both sides: 7t - 3 + 3 ≥ 67 + 3, which simplifies to 7t ≥ 70.
2. Divide both sides by 7: 7t/7 ≥ 70/7, which simplifies to t ≥ 10.

Therefore, Justin needs to work at least 10 hours trimming trees to meet his income goal.