Algebra 1 | Unit 2 | Lesson 25: Solving Problems with Systems of Linear Inequalities in Two Variables | Practice Problems

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A triathlon athlete swims at an average rate 2.4 miles per hour, and bikes at an average rate of 16.1 miles per hour. At the end of one training session, she has swum and biked more than 20 miles in total. Determine a possible combination of swimming and biking times that meet both the distance and the time constraints in this situation.

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Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items. Write an inequality that represents the number of gift items that Elena needs.

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Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items. Use the graphs to find at least two possible combinations of bracelets and necklaces Elena could buy.

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Elena is considering buying bracelets and necklaces as gifts for her friends. Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts. Elena needs at least 7 gift items. Explain how the graphs show that the combination of 2 bracelets and 5 necklaces meet one constraint in the situation but not the other constraint.

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