Sylvia can work at most 15 hours per week at her part time job. Last week she worked 12 hours and earned $84. She hopes to earn more than $100 next week. Explain how to use equations and inequalities to determine whether she can do so

--------------------------------------------------------------------------------------------
Find Sylvia's hourly rate
--------------------------------------------------------------------------------------------

12 hours = $84
1 hour = $7

--------------------------------------------------------------------------------------------
Find number of hours she needs to work to earn more than $100
--------------------------------------------------------------------------------------------
Let x be the number of hours she needs to work
7x > 100
x > 100 ÷ 7 
x > 14.28
x ≈ 15

--------------------------------------------------------------------------------------------
Ans: She needs to work at least 15 hours to get more than $100. It is possible because she can work 15 hours a week.
--------------------------------------------------------------------------------------------