Question

20 points Copper Creek Pizza is having a special. If you order a large pizza for the regular price of 17 dollars you can order any number of additional large pizzas for 8.50 dollars each

a) Complete the table to show the cost of ordering up to 4 large pizzas

Number of Large Pizzas: 1 | 2 |3 | 4
Total Cost:

b) Write an explicit and a recursive rule for the cost of placing an order for n large pizzas

c) What is the cost of placing an order for 20 large pizzas

d) Five people each make an order for 3 large pizzas. How much money would they have saved if they placed one order for 15 pizzas? Explain

Answer 1

To calculate the cost of pizzas at Copper Creek Pizza with their special offer, we use provided formulas for up to 4 pizzas, and extend those to 20 pizzas. The total cost for 20 pizzas would be $178.50. If a group ordered together, they could save $34 by placing one order for 15 pizzas instead of separate orders.

Step-by-step explanation:

To complete the table showing the cost of ordering up to 4 large pizzas from Copper Creek Pizza, we calculate the total cost based on the special deal provided. For any additional large pizza after the first one, the price is $8.50 each.

• Number of Large Pizzas: 1 | Total Cost: $17
• Number of Large Pizzas: 2 | Total Cost: $17 + $8.50 = $25.50
• Number of Large Pizzas: 3 | Total Cost: $17 + $8.50 + $8.50 = $34
• Number of Large Pizzas: 4 | Total Cost: $17 + $8.50 + $8.50 + $8.50 = $42.50

The explicit rule for the cost of n large pizzas is Cost = 17 + 8.50(n - 1), where n is the number of pizzas ordered.

The recursive rule is Costn = Costn-1 + 8.50, with the initial condition Cost1 = 17.

For part (c), the cost of ordering 20 large pizzas is calculated as: Cost = 17 + 8.50(20 - 1) = 17 + 8.50(19) = 17 + 161.50 = $178.50.

For part (d), if five people each make an order for 3 large pizzas, the total cost would be 5 x ($17 + 2 x $8.50) = 5 x ($34) = $170. If they placed one order for 15 pizzas, the cost would be $17 + 14 x $8.50 = $136. Therefore, they would have saved $170 - $136 = $34.

Answer 2

a. your equation would be 17 + 8.50X

number of additional large pizzas equation cost
1 17 + 8.50(1) $25.50
2 17 + 8.50(2) $34.00
3 17 + 8.50(3) $42.50

b. will get back to you

c. 17 + 8.50 (20) = 187 $187

d. $34 X 5 = $170 17 + 8.50 (14) = $136 170 - 136 = $34 saved