Data:
t: number of hours
y: earnings
earn more than $44
[tex]y>44[/tex]He charges $6 per hour (6t) and pays $4 (-4) in equipment fees:
[tex]y=6t-4[/tex]Then, you get the next inequality:[tex]6t-4>44[/tex]To find the number of hours Trey could trim trees solve the inequality for t:
- Add 4 in both sides of the inequality:
[tex]\begin{gathered} 6t-4+4>44+4 \\ \\ 6t>48 \end{gathered}[/tex]- Divide both sides of the inequality into 6:
[tex]\begin{gathered} \frac{6}{6}t>\frac{48}{6} \\ \\ t>8 \end{gathered}[/tex]Then, Trey needs to trim tress for more than 8 hours to earn more than $44