Module 7: Solving Linear Inequalities
Pizza Party Presentation
For this assignment, you will use your knowledge of linear inequalities to solve the problems listed below. Follow the instructions for each portion, answer all of the questions, and be sure to show all of your work.
This activity is available below or in a printable document.
Mrs. Taylor is planning a pizza party for her students. She plans to purchase cheese pizza and pepperoni pizza for her students to enjoy. Cheese pizzas cost $8 each and pepperoni pizzas cost $11 each. She needs to purchase at least 12 pizzas, while spending no more than $180.
Let x represent the number of cheese pizzas purchased and y represent the number of pepperoni pizzas purchased.
- Write a system of inequalities to model the situation.
- What are two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit?
- Verify the combinations graphically.
- Verify the combinations algebraically.
- What is one combination of cheese and pepperoni pizzas that does not meet the criteria?
- Verify the combination graphically.
- Verify the combination algebraically.
- Create a presentation that Mrs. Taylor can give to her principal in hopes the pizza party will get approved. You may choose any presentation style you deem effective.
Before you begin, access the Pizza Party Presentation Rubric to make sure you include all of the items required for full credit.
Reflection
After you have completed the assignment above, take a moment to reflect on the following questions. Respond to each of these questions in a brief four to five sentence paragraph.
- Explain the importance of the graphing calculator in completing the assignment above.
- Do you prefer to verify solutions algebraically or graphically? Why?
Once you have completed this assignment and reflection, please submit your work to the dropbox.