Question

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

Answer 1

Given:

Manuel wants to earn at least $44 trimming trees.

He charges $6 per hour and pays $4 in equipment fees.

To find:

The possible numbers of hours Manuel could trim trees.

Solution:

Let t be the numbers of hours Manuel could trim trees.

Earnings of Manuel in one hour = $6

Earnings of Manuel in t hour = $6t

He pays $4 in equipment fees. So, we will subtract this from the income.

`\text{Total earnings}=6t-4`

Manuel wants to earn at least $44 trimming trees. It means, total earnings must be greater than or equal to 44.

`6t-4\geq 44`

`6t\geq 44+4`

`6t\geq 48`

Divide both sides by 6.

`t\geq (48)/(6)`

`t\geq 8`

Therefore, the required number of hours must be greater than or equal to 8 hours.