Linear Inequalities Around the World Activity

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Presentation transcript:

Linear Inequalities Around the World Activity

1 A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each. The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can purchase. What is the maximum number of new baseballs that the team can purchase? Show your work!

2 Writing Prompt  2-5 sentences Describe a real-life situation that you can model using a system of linear inequalities.

3 21. A system of inequalities is shown below. y < x – 6 y > –2x Which graph shows the solution set of the system of inequalities?

4 Graph the solution to the system of inequalities:

5 How can you tell if the ordered pair (1, 2) is a solution to this system of inequalities?

6 Tyreke always leaves a tip of between 8% and 20% for the server when he pays for his 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 > 0.08x y < 0.2x Which of the following is a true statement? A. When the cost of dinner ( x) is $10, the amount of tip ( y) must be between $2 and $8. B. When the cost of dinner ( x) is $15, the amount of tip ( y) must be between $1.20 and $3.00. C. When the amount of tip ( y) is $3, the cost of dinner ( x) must be between $11 and $23. D. When the amount of tip ( y) is $2.40, the cost of dinner ( x) must be between $3 and $6.

7 Graph, on a number line, the solution of the inequality 2x – 2 ≥ 6?

8 Graph the solution to the system of inequalities: y < x + 3 y > -2x

Why can’t your answer be letter C? Explain. 4. Student Answer Sheet for Around the World Name: 1. 2. My Answer: _______ Why can’t your answer be letter C? Explain. 4.

Why can’t your answer be letter A? Explain. Student Answer Sheet for Around the World 5. My answer is ________. Why can’t your answer be letter A? Explain. 7. 8.