Question

A coach spends no more than 20 hours per week coaching soccer. He is paid $7 an hour for coaching offense and $9 an hour for coaching the

goalie. He wants to spend at least 5 hours but no more than 11 hours coaching offense. How many hours should he coach offense each week to
earn the maximum amount of money?

Answer 1

The coach should coach offense for 11 hours each week to earn the maximum amount of money.

Step-by-step explanation:

To earn the maximum amount of money, the coach should spend the maximum amount of time coaching offense. We know that he wants to spend at least 5 hours but no more than 11 hours coaching offense. Let's calculate the earnings for each scenario:

1. If he coaches offense for 5 hours, his earnings would be 5 * $7 = $35.
2. If he coaches offense for 6 hours, his earnings would be 6 * $7 = $42.
3. If he coaches offense for 7 hours, his earnings would be 7 * $7 = $49.
4. If he coaches offense for 8 hours, his earnings would be 8 * $7 = $56.
5. If he coaches offense for 9 hours, his earnings would be 9 * $7 = $63.
6. If he coaches offense for 10 hours, his earnings would be 10 * $7 = $70.
7. If he coaches offense for 11 hours, his earnings would be 11 * $7 = $77.

As we can see, the coach earns the maximum amount of money ( $77 ) when he coaches offense for 11 hours.