1. Linear Inequalities Applications

2. Problem 1
An economics class formed a company to sell school supplies. They would like to sell at least 20 notebooks and 50 pens per week, with a goal of earning at least $60 per week.
Notebooks are $2.50 and pens are $1.25.
Write a system of inequalities to represent this scenario.

3. Problem 2
Opal makes $15 per hour working for a photographer. She also coaches a competitive soccer team for $10 per hour. Opal needs to earn at least $90 per week, but she does not want to work more than 20 hours per week.
Write a system of inequalities to represent this scenario.

4. Problem 3
Sarah is selling earrings and bracelets to earn money for summer vacation. She sells bracelets for $2 and earrings for $3. She needs to make at least $500. She knows she will sell more than 50 bracelets.
Write a system of inequalities to represent this situation.

5. Problem 4
Mr. Jones would like to spend no more than $37.50 per week on recycling. A curbside recycling service will remove up to 50 pounds of plastic bottles and paper products per week. They charge $0.25 per pound of plastic and $0.75 per pound of paper products.
Write a system of inequalities to represent this scenario.

6. Problem 5
Allie recently spent $50 to open a cart to sell hotdogs on the beach. She buys hotdogs for 50 cents each from the food supplier. She charges $2.50 for a hotdog. What is the minimim number of hotdogs Allie needs to sell to make a profit of at least $250 per week?

7. Problem 6 y>4 y<¾x-3
Find an ordered pair that is a solution to the system

8. Problem 7
Find the solution
x-4<7 and 3-2x<9