Juan wants to earn more than $71 trimming trees. He charges $8 per hour and pays $9 in equipment fees. What are the possible numbers of hours Juan could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t.
Question
Juan wants to earn more than 8 per hour and pays $9 in equipment fees. What are the possible numbers of hours Juan 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 Juan's earnings.
Juan's earnings are made up of the money he makes per hour (9). He wants to earn more than $71. So, we can write this as:
8t - 9 > 71
Next, we need to isolate t (the number of hours Juan could trim trees). We can do this by first adding 9 to both sides of the inequality to get rid of the -9 on the left side:
8t > 71 + 9 8t > 80
Finally, we divide both sides of the inequality by 8 to solve for t:
t > 80 / 8 t > 10
So, the possible number of hours Juan could trim trees to earn more than $71, after paying his equipment fees, is any number greater than 10 hours.
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