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Linear Inequalities Applications

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Presentation on theme: "Linear Inequalities Applications"— Presentation transcript:

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


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