Question

Melissa needs to earn at least $500 during the summer months. She babysits for $12 per hour and teaches swimming lessons for $20 per hour. Due to her summer school class, she can only work 30 hours or less per week. Let b equal the number of hours she babysits and s equal the number of hours she teaches swimming lessons. Which set of inequalities model this situation? 20b 125 > 500 b s < 30 12b 20s < 500 b s > 30 12b 20s > 500 b s < 30 20b 2s > 500 b s = 30

Answer 1

The set of inequalities that model this situation is: 20b + 12s > 500 and b + s < 30. These inequalities represent Melissa's need to earn at least $500 and her constraint of working 30 hours or less per week.

Step-by-step explanation:

The set of inequalities that model this situation is:

20b + 12s > 500

b + s < 30

In this case, b represents the number of hours Melissa babysits and s represents the number of hours she teaches swimming lessons.

The first inequality, 20b + 12s > 500, represents the condition that Melissa needs to earn at least $500. The second inequality, b + s < 30, represents the constraint that Melissa can only work 30 hours or less per week.