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 .

Respuesta :

Answer:

[tex]t\ge8[/tex]

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

Explanation:

Let t represent the possible number of hours.

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

[tex]6t-9\ge39[/tex]

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

[tex]\begin{gathered} 6t-9+9\ge39+9 \\ 6t\ge48 \end{gathered}[/tex]

Dividing both sides by 6, we'll have;

[tex]\begin{gathered} \frac{6t}{6}\ge\frac{48}{6} \\ t\ge8 \end{gathered}[/tex]

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