Assignment: Graph Linear Inequalities Follow the directions to solve each of the problems below. 1. The local school district has decided to limit class sizes for grades kindergarten to third grade. The inequality y x 25 represents the number girls (x) and boys (y) allowed in each class. a. Graph the inequality on the coordinate plane below. b. Choose an ordered pair (x, y) that is part of the solution set and write 1-2 sentences to explain the meaning of the ordered pair for this situation. K12 Inc. 2. Kendra goes to her local farmers' market to purchase some fresh fruit. The inequality 3 y x 3 represents the number of pounds of apples (x) and oranges (y) she can 4 purchase for no more than $12. a. Graph the inequality on the coordinate plane below. b. Choose an ordered pair (x, y) that is part of the solution set and write 1-2 sentences to explain the meaning of the ordered pair for this situation. K12 Inc. 3. A skateboard shop offers two different sized skateboards for sale. The inequality 1 y x 30 represents the number of each size skateboard the shop needs to sell every 2 week to make a profit of at least $1,500, where x represents the number of smaller skateboards sold, and y represents the number of larger skateboards sold. a. Graph the inequality on the coordinate plane below. b. Choose an ordered pair (x, y) that is part of the solution set and write 1-2 sentences to explain the meaning of the ordered pair for this situation. K12 Inc. 4. Now create your own real-world situation involving the linear inequality y 2x 20 . a. Graph the inequality on the coordinate plane below. b. Think of a real-world situation that makes sense for this inequality. Write a brief description of the situation. c. Choose an ordered pair (x, y) that is part of the solution set and write 1-2 sentences to explain the meaning of the ordered pair for your situation. K12 Inc. Assignment: Solve by Elimination Choose any three (3) of the following four problems to solve. 1. A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. A group of eight people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? a. Write a system of linear equations based on the description. Use x to represent the number of adults and y to represent the number of children. b. Solve the system using the elimination method. Show all the steps leading to your answer. c. Write 1-2 sentences to explain what the solution means for this situation. 2. A child has a piggy bank that contains only quarters and dimes. Altogether, there are 27 coins in the bank and the total value of the coins is $4.50. How many quarters and how many dimes are in the piggy bank? a. Write a system of linear equations based on the description. Use x to represent the number of quarters and y to represent the number of dimes. b. Solve the system using the elimination method. Show all the steps leading to your answer. c. Write 1-2 sentences to explain what the solution means for this situation. 3. A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.50 to download eight songs and three games, and Dwayne paid $22.50 to download four songs and five games. How much does the store charge to download each song and game? K12 Inc. a. Write a system of linear equations based on the description. Use x to represent the cost of each song and y to represent the cost of each game. b. Solve the system using the elimination method. Show all the steps leading to your answer. c. Write 1-2 sentences to explain what the solution means for this situation. 4. A seafood company sells salmon and shrimp to local restaurants. The company charges its customers one price for salmon and another price for shrimp. One restaurant pays $166.83 for ten pounds of salmon and seven pounds of shrimp, while another pays $143.86 for five pounds of salmon and nine pounds of shrimp. How much does each seafood product cost per pound? a. Write a system of linear equations based on the description. Use x to represent the number of pounds of salmon and y to represent the number of pounds of shrimp. b. Solve the system using the elimination method. Show all the steps leading to your answer. c. Write 1-2 sentences to explain what the solution means for this situation. K12 Inc