You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons.
Inequality for hours at grocery store:

Inequality for total earnings:

Inequality for total work hours
b. Identify and interpret a solution of the system.

(4, 10); You can work 4 hours at the grocery store and spend 10 hours teaching music lessons.

(9, 1); You can work 9 hours at the grocery store and spend 1 hour teaching music lessons.

(12, 10); You can work 10 hours at the grocery store and spend 10 hours teaching music lessons.

(12, 2); You can work 12 hours at the grocery store and spend 2 hours teaching music lessons.

c. Can you you work 8 hours at the grocery store and teach 1 hour of music lessons?