The Snack Shack sells a large 18-inch pizza for $10.50. Which unit rate is greater than the price per square inch of the 18-inch pizza? Select all that apply.
A.
$0.02
B.
$0.03
C.
$0.04
D.
$0.05
E.
$0.06
F.
$0.07
Thanks for your help.
unit rate is price/area
area = pi r^2
So, figure your unit rate, and compare the choices
The answer can be: C, D, E, F
you sure??
welp, its 0.04
To find the unit rate of the price per square inch of the 18-inch pizza, we need to divide the price of the pizza by its area.
First, let's find the area of the pizza. The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius. Since the diameter of the 18-inch pizza is given, we need to divide it by 2 to find the radius.
So, the radius (r) of the pizza is 18 inches / 2 = 9 inches.
Now, let's find the area (A). We substitute the value of the radius into the formula A = πr².
A = π(9 inches)²
A = 81π square inches
Now, we can find the price per square inch by dividing the total price by the area.
Price per square inch = $10.50 / 81π square inches
To compare this value with the given options, we need to simplify it.
Price per square inch = $10.50 / 81π
Now, let's approximate this value using the given options.
Option A: $0.02
Option B: $0.03
Option C: $0.04
Option D: $0.05
Option E: $0.06
Option F: $0.07
To compare the options, we need to calculate the approximate value of the price per square inch.
Divide $10.50 by the approximate value of π (3.14) and then by 81:
Price per square inch ≈ $10.50 / (81 * 3.14)
Calculating this value, we find that the price per square inch is approximately $0.013.
Now we can compare this value to the given options to identify which ones are greater than the price per square inch.
Option A: $0.02 (Greater)
Option B: $0.03 (Greater)
Option C: $0.04 (Greater)
Option D: $0.05 (Greater)
Option E: $0.06 (Not greater)
Option F: $0.07 (Not greater)
Therefore, the unit rates that are greater than the price per square inch of the 18-inch pizza are:
A. $0.02
B. $0.03
C. $0.04
D. $0.05