Name_____________________________________________
Period_________
Mid-year Assessment
Papa Luigi’s Pizza Pi!
1. The following prices are for pizzas with two toppings.
Pizza Size
Area (sq. in.)
Price
Small Pizza – 9” diameter
$7.99
Medium Pizza – 12” diameter
$9.99
Large Pizza – 14” diameter
$12.99
Price per sq. in.
a. Calculate the AREA of each pizza in the chart above. Remember, 𝐴 = 𝜋𝑟 2 .
Round the areas to the nearest square inch. Show any calculations below.
b. Calculate the cost of each pizza per square inch in the chart above.
Round to the nearest penny. Show any calculations below.
c. Based upon the information in the chart, which size pizza is the best buy?
Explain your answer.
___________________________________________________________________________
___________________________________________________________________________
Bonus: The difference in price between a 9” pizza and a 12” pizza (an increase of 3”) is $2.00.
The difference in price between a 12” pizza and a 14” pizza (an increase of 2”) is $3.00.
What explanation could be given for this discrepancy?
____________________________________________________________________________
____________________________________________________________________________
©MathBits.com
2. Mama Luigi wants to open her own Pizza Shop. She plans to sell 10” pizzas for $10.
a. If she also sells a 15” pizza, what will be its cost if Mama
determines the cost based upon the increase in diameter?
b. What will be the cost of the 15” pizza if Mama determines the cost based
upon the price per square inch? (Round to the nearest square inch.)
c. Explain why pizza shops are more likely to determine the price of a pizza
based upon the area of the pizza rather than the diameter of the pizza.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
3.
A competitive pizza shop is selling rectangular pizzas. Their main offering is a pizza
12” by 14” with two toppings for $12.99. Is this offer a better deal than the traditional
pizzas you could buy at Papa Luigi’s Shop? Support your answer.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
©MathBits.com
4.
At Papa Luigi’s, delivery is free within the city limits. If you want your pizza delivered
outside of the city limits, you will be charged $0.50 per mile beyond the city limits.
You decide to order a large pizza and have it delivered. You live 8 miles outside of the
city limits. How much will you have to pay the delivery person for the pizza when
he/she arrives? Don’t forget the 8% sales tax on the cost of the pizza, and a 20% tip
based upon the cost of the pizza. SHOW ALL WORK.
Cost of Pizza
Delivery Charge
Sales Tax
©MathBits.com
Tip
Total Cost