Question

Juan wants to earn at least $38 trimming trees. He charges $6 per hour and pays $4 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.

Answer 1

Answer: t ≥ 7

Explanation:

Earnings = (hourly rate x hours worked) - equipment fees

Since Juan charges $6 per hour and pays $4 in equipment fees, we can substitute these values into the equation:

Earnings = (6t) - 4

Now we can use this equation to set up an inequality to represent Juan's earnings:

(6t) - 4 ≥ 38

Simplifying the inequality, we get:

6t ≥ 42

Dividing both sides by 6, we get:

t ≥ 7

Therefore, the possible number of hours Juan could trim trees is any value of t that is greater than or equal to 7. We can write this as an inequality:

t ≥ 7