Paul earns $5 per hour working after school. He needs at least $210 for a stereo system. Write and solve an inequality that describes the number of hours h he must work to reach his goal.
The amount of money Paul earns is directly proportional to the number of hours he works. We can represent this relationship with the equation:
Money earned = hourly rate × number of hours worked
In this case, we want to find the number of hours Paul needs to work to earn at least $210. We can set up an inequality to describe this:
5h ≥ 210
where h is the number of hours Paul needs to work. We can solve for h by dividing both sides of the inequality by 5:
h ≥ 42
Therefore, Paul needs to work at least 42 hours to earn $210.