Question

Trey wants to earn more than $44 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible numbers of hours Trey could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t.

Answer 1

Data:

t: number of hours

y: earnings

earn more than $44

`y>44`

He charges $6 per hour (6t) and pays $4 (-4) in equipment fees:

`y=6t-4`

Then, you get the next inequality:
`6t-4>44`

To find the number of hours Trey could trim trees solve the inequality for t:

- Add 4 in both sides of the inequality:

`\begin{gathered} 6t-4+4>44+4 \\ \\ 6t>48 \end{gathered}`

- Divide both sides of the inequality into 6:

`\begin{gathered} (6)/(6)t>(48)/(6) \\ \\ t>8 \end{gathered}`Then, Trey needs to trim tress for more than 8 hours to earn more than $44