Algebra Name: ______________________________ Systems of Linear Inequalities Interpreting Solutions to Problems Complete the following. Trevor always leaves a tip of between 7% and 22% for the server when he pays for dinner. This can be represented by the system of inequalities shown below, where y is the amount of tip, and x is the cost of dinner. y > 0.07x y < 0.22x Which of the following is a true statement? When the cost of dinner (x) is $15, the amount of tip (y) must be between $3.30 and $10.50. When the cost of dinner (x) is $30, the amount of tip (y) must be between $2.10 and $6.60. When the amount of tip (y) is $7, the cost of dinner (x) must be between $10 and $31. When the amount of tip (y) is $1.32, the cost of dinner (x) must be between $6 and $13. 2. Tony wants to plant at least 40 acres of corn. He wants at least 200 acres of corn and soybeans. This can be represented by the system of inequalities shown below, where x represents the number of acres of soybeans, and y represents the number of acres of corn. x + y > 200 y > 40 Which of the following is a true statement? When Tom plants 50 acres of corn, the acres of soybeans must be between 100 and 150. When Tom plants 75 acres of corn, the acres of soybeans must be between 40 and 125. When Tom plants 65 acres of corn, the acres of soybeans must be at least 135. When Tom plants 40 acres of corn, the acres of soybeans must be at least 140.
Algebra Name: ______________________________ Systems of Linear Inequalities Interpreting Solutions to Problems Complete the following. Trevor always leaves a tip of between 7% and 22% for the server when he pays for dinner. This can be represented by the system of inequalities shown below, where y is the amount of tip, and x is the cost of dinner. y > 0.07x y < 0.22x Which of the following is a true statement? When the cost of dinner (x) is $15, the amount of tip (y) must be between $3.30 and $10.50. When the cost of dinner (x) is $30, the amount of tip (y) must be between $2.10 and $6.60. When the amount of tip (y) is $7, the cost of dinner (x) must be between $10 and $31. When the amount of tip (y) is $1.32, the cost of dinner (x) must be between $6 and $13. 2. Tony wants to plant at least 40 acres of corn. He wants at least 200 acres of corn and soybeans. This can be represented by the system of inequalities shown below, where x represents the number of acres of soybeans, and y represents the number of acres of corn. x + y > 200 y > 40 Which of the following is a true statement? When Tom plants 50 acres of corn, the acres of soybeans must be between 100 and 150. When Tom plants 75 acres of corn, the acres of soybeans must be between 40 and 125. When Tom plants 65 acres of corn, the acres of soybeans must be at least 135. When Tom plants 40 acres of corn, the acres of soybeans must be at least 140.
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