Answer:
a. $18.36 for 3 pizzas : k = 6.12
b. $4.17 for 3 pounds of bananas . k = 1.39
c. $16.48 for 4 pounds of potatoes . k = 4.12
d. 2 cups of flour to make 24 cookie . k = 12
Step-by-step explanation:
PROPORTIONALITY:
Two quantities x and y are said to proportional to each other
if for x ∝ y , x = y k.
Here, k is called the PROPORTIONALITY CONSTANT.
⇒
Now, for the given quantities:
a. $18.36 for 3 pizzas [box]
Here, ![k = \frac{x}{y} = \frac{18.36}{3} = 6.12](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B18.36%7D%7B3%7D%20%20%3D%206.12)
So, the proportionality constant is 6.12.
b. $4.17 for 3 pounds of bananas [box]
Here, ![k = \frac{x}{y} = \frac{4.17}{3} = 1.39](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B4.17%7D%7B3%7D%20%20%3D%201.39)
So, the proportionality constant is 1.39.
c. $16.48 for 4 pounds of potatoes [box]
Here, ![k = \frac{x}{y} = \frac{16.48}{4} = 4.12](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B16.48%7D%7B4%7D%20%20%3D%204.12)
So, the proportionality constant is 4.12.
d. 2 cups of flour to make 24 cookies
Here, ![k = \frac{x}{y} = \frac{24}{2} = 12](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B24%7D%7B2%7D%20%20%3D%2012)
So, the proportionality constant is 12.