1. Grace enjoys baby-sitting, but it only pays $4 an hour. She has been offered a job as a tutor that pays $8 an hour. She can must work less than 15 hours a week. How many hours can Grace tutor and baby-sit and still make at least $80 a week?

2. We can write two inequalities for this problem. First, we will write an inequality to describe the number of hours Grace will work at both jobs (which must be less than 15 hours) B + T < 15

3. Then we will write an inequality to describe the amount of money she will earn at both jobs (which will be at least $80)

4. Graph the first inequality BT 0 0

5. BT 150 0 3 6 9 12 15 15 12 9 6 3 B T

6. Graph the second inequality BT 0 0 3 6 9 12 15 15 12 9 6 3 B T

7. Graph the second inequality BT 13.30 010 3 6 9 12 15 15 12 9 6 3 B T

8. The darker shaded region represents the hours Grace can work at the two jobs 3 6 9 12 15 15 12 9 6 3 B T Could she work 3 hours babysitting and 11 hours tutoring?

9. Graph the system in the calculator:

10. Write a system of inequalities for the graph:

11. The system of inequalities is:

12. Complete Activity 7i  Graph systems of inequalities  Solve problems with systems of inequalities  Write systems of inequalities