scott wants to earn at least $53 trimming trees. he charges $8 per hour and pays $3 in equipment fees. what…

scott wants to earn at least $53 trimming trees. he charges $8 per hour and pays $3 in equipment fees. what are the possible numbers of hours scott could trim trees? use t for the number of hours. write your answer as an inequality solved for t.

scott wants to earn at least $53 trimming trees. he charges $8 per hour and pays $3 in equipment fees. what are the possible numbers of hours scott could trim trees? use t for the number of hours. write your answer as an inequality solved for t.

Answer

Explanation:

Step1: Set up the inequality

Scott charges $8 per hour, so his income from working $t$ hours is $8t$. He pays $3$ in equipment fees. He wants to earn at least $53$. So the inequality is $8t - 3\geq53$.

Step2: Add 3 to both sides

Adding 3 to both sides of the inequality $8t - 3\geq53$ gives $8t-3 + 3\geq53 + 3$, which simplifies to $8t\geq56$.

Step3: Divide both sides by 8

Dividing both sides of $8t\geq56$ by 8, we get $\frac{8t}{8}\geq\frac{56}{8}$, so $t\geq7$.

Answer:

$t\geq7$