**Modeling Linear Inequalities with Two Variables** **Problem 278:** Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs: one as a swimming instructor at $9 per hour, and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? 1. Let \( x \) be the number of hours she works teaching swimming, and let \( y \) be the number of hours she works as an intern. Write an inequality to model this situation. 2. Graph the inequality. 3. Find three ordered pairs \((x, y)\) that are solutions to the inequality. Then, explain what these solutions mean for Elena. --- **Problem 280:** Armando's workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and 7 calories per minute while swimming. He wants to burn 600 calories each day. 1. If \( x \) is the number of minutes Armando will kickbox and \( y \) is the number of minutes he will swim, find the inequality that will help Armando create a workout plan for today. 2. Graph the inequality. 3. List three solutions to the inequality. What options do these solutions represent for Armando?

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