Ali wants to earn more than $31 trimming trees. He charges $7 per hour and pays $4 in equipment fees. What are the possible numbers of hours Ali could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t.
Question
Ali wants to earn more than 7 per hour and pays $4 in equipment fees. What are the possible numbers of hours Ali could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t.
Solution
To solve this problem, we first need to set up an inequality that represents Ali's earnings.
Ali earns 4 in equipment fees. So, his total earnings after working for t hours and paying the equipment fees would be 4.
Ali wants to earn more than $31. So, we set up the inequality as follows:
7t - 4 > 31
Next, we solve for t.
First, add 4 to both sides of the inequality to isolate the term with t on one side:
7t > 31 + 4
which simplifies to:
7t > 35
Finally, divide both sides of the inequality by 7 to solve for t:
t > 35 / 7
which simplifies to:
t > 5
So, the possible numbers of hours Ali could trim trees to earn more than $31, after paying equipment fees, is any number greater than 5 hours.
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