Match the real-world problem to its constant of proportionality.

a. $18.36 for 3 pizzas [box]
b. $4.17 for 3 pounds of bananas [box]
c. $16.48 for 4 pounds of potatoes [box]
d. 2 cups of flour to make 24 cookies [box]


Place in the box 12 4.12 6.12 1.39

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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  = 2

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 i s called the PROPORTIONALITY CONSTANT.

⇒  [tex]x \propto y \implies  k = \frac{x}{y}[/tex]

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here,[tex]k =  \frac{18.36}{3} = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here,[tex]k =  \frac{4.17}{3} = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here,[tex]k =  \frac{16.48}{4} = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,[tex]k =  \frac{24}{2} = 12[/tex]

So, the proportionality constant is 12

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