Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week.

Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
Graph the inequalities.
What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain.
What is the maximum amount of money Li

Question

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week.

    Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
    Graph the inequalities.
    What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain.
    What is the maximum amount of money Li

anonymous · Answer

lia can earn in one week

imstuck · Answer

Your system of inequalities is this:$$5r+10y \le 15$$and $$8r+12y \ge 120$$

imstuck · Answer

The first inequality represents the number of hours worked: the 5 hours at the restaurant Plus the hours at yard work (which cannot be more than 10 cuz her parents only allow her to work 15 hours total and she HAS to do 5 at the restaurant)

imstuck · Answer

The second inequality represents the money she earns: $8 per hour at the restaurant plus $12 per hour at yard work and she wants to make at least $120 per week.

anonymous · Answer

thank you