Question

Sean earns $7.00 per hour working after school. He needs at least $230 for a stereo system. Write and solve an inequality that describes how many hours he must work to reach his goal.

Answer 1

earnings = $7 per hour

He needs at least $230 . This means he needs an amount greater than or equals to $230.

let

t = hour many hours he works

Therefore,

$7t\ge230$$\begin{gathered} 7t\ge230 \\ t\ge\frac{230}{7} \\ t\ge32.8571428571 \\ t\ge33 \end{gathered}$

He needs to work approximately 33 hours or more to get at least $230 for his sterio. This means t is greater than or equals to approximately 33.