Shen wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Shen could trim trees?

Question

Use t for the number of hours.
Write your answer as an inequality solved for t.

Answer 1

Let's solve this problem step by step.

First, we know that Shen wants to earn more than $42. Since he charges $8 per hour, we can express this as:
8t > 42

Next, we also know that Shen pays $6 in equipment fees for each job. So, in addition to earning more than $42, he also needs to cover the equipment fees. We can express this as:
8t - 6 > 42

Now, we can solve this inequality for t:
8t - 6 > 42
8t > 42 + 6
8t > 48

Finally, we divide both sides of the inequality by 8 to solve for t:
t > 48/8
t > 6

Therefore, the possible numbers of hours Shen could trim trees is given by the inequality:
t > 6