Not All Pizza Is Created Equal

Name: ______Date: ______

Not All Pizza is Created Equal

Learning Target: ______

______

As you know most pizza places charge different amounts for their pizzas. Below are three examples from three different pizza places.

Small pizzas: Cost $6 each with a Medium pizzas: Cost $12 each with a Large pizzas: Cost $18 each with free delivery fee of $8 delivery fee of $4 delivery fee

1. Write a function (rule or 1. Write a function (rule) for finding the 1. Write a function (rule) for finding the total shortcut) to help employees find total cost of pizza, depending on the cost based on the number of pizzas ordered each customer’s total bill, amount of pizzas ordered depending on how many pizzas they order.

2. Use your function to find the total cost 2. Use your function to find the 2. Use your function to find the total cost total cost for the following for the following customers (all are delivery orders) for the following customers (all are delivery customers (all are delivery orders) orders) a. Peggy ordered 5 pizzas a. Peggy ordered 5 pizzas a. Peggy ordered 5 pizzas

b. Juan ordered 9 pizzas b. Juan ordered 9 pizzas b. Juan ordered 9 pizzas

c. Jack ordered 15 pizzas c. Jack ordered 15 pizzas c. Jack ordered 15 pizzas Name: ______Date: ______

Let’s Get the Big Picture

3. Take your function rules from the previous page and create a table of values to represent each type of pizza.

Number of Total Cost Number of Total Cost Small Pizzas Large Pizzas Ordered Ordered

4. Using one sheet of graph paper, plot the points from all three tables on the same sheet of graph paper together.

Would it be a good idea to connect the points with a line? Explain below why you will be or will not be connecting the points on your graph. What is the benefit of connecting or not connecting the points with a line. Name: ______Date: ______

Looking at your graph, answer the following questions.

5. Which pizza size (small, medium, large) had the highest initial amount?

6. What did this initial amount represent?

7. Which pizza size had the highest rate of change? What was the rate of change? Why was it the highest rate of change?

8. Which pizza size had the lowest rate of change? What was the rate of change? Why was it the lowest rate of change?

9. Explain why some of your lines intersect?

10. What does the point of intersection (the place where they cross) mean? Name: ______Date: ______

11. Which of the following scenarios is the better deal: to order two large pizzas or four small pizzas? Prove your answer.

12 Which of the following scenarios is the better deal: to order six medium pizzas or four large pizzas? Prove your answer.

13. If you are ordering pizza for you and eight friends, which option is the cheapest: to order eight people each their own small pizza or to order one medium for two people to split and share?

14. A small pizza is 8 inches in diameter, a medium pizza is 12 inches in diameter, and a large pizza is 16 inches in diameter. If you have a budget of $50 to spend on pizza, how many of each size of pizza should you purchase in order to receive the maximum amount of pizza you can with your budget?