Question

Chau wants to earn at least $39 trimming trees. He charges $6 per hour and pays $9 in equipment fees. What are the possible numbers of hours Chau could trim trees?Use t for the number of hours.Write your answer as an inequality solved for t .

Answer 1

`t\ge8`

Chau has to trim trees for 8 hours or more to earn at least $39.

Step-by-step explanation:

Let t represent the possible number of hours.

From the information in the question, we can go ahead set up the below inequality;

`6t-9\ge39`

Let's solve for t by adding 9 to both sides;

`\begin{gathered} 6t-9+9\ge39+9 \\ 6t\ge48 \end{gathered}`

Dividing both sides by 6, we'll have;

`\begin{gathered} (6t)/(6)\ge(48)/(6) \\ t\ge8 \end{gathered}`

We can see from the above that Chau has to trim trees for 8 hours or more to earn $39 or more.