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.
[tex]\text{Total earnings}=6t-4[/tex]
Manuel wants to earn at least $44 trimming trees. It means, total earnings must be greater than or equal to 44.
[tex]6t-4\geq 44[/tex]
[tex]6t\geq 44+4[/tex]
[tex]6t\geq 48[/tex]
Divide both sides by 6.
[tex]t\geq \dfrac{48}{6}[/tex]
[tex]t\geq 8[/tex]
Therefore, the required number of hours must be greater than or equal to 8 hours.
