Question

Baker earns $18 per hour at his job. The number of hours he works changes from week to week but he always earns at least $360 but no more than $720. Let h represent the number of hours he works each week. How many hours does Baker work each week?

Answer 1

Baker earns $18 per hour and must work between 20 and 40 hours each week to earn between $360 and $720.

Step-by-step explanation:

Baker earns $18 per hour at his job. To determine how many hours Baker works each week, given that he earns at least $360 but no more than $720, we can set up two inequalities. Let h represent the number of hours Baker works each week.

• For the minimum earnings ($360): $18h ≥ $360
• For the maximum earnings ($720): $18h ≤ $720

We then divide both sides of the inequalities by $18 to solve for h.

• For the minimum earnings: h ≥ $360 / $18
• For the maximum earnings: h ≤ $720 / $18

After performing the division, we find that:

• h ≥ 20
• h ≤ 40

Therefore, Baker works between 20 and 40 hours each week, inclusive of these endpoints.