A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used,x?

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Answer

Find out the what is the constant of proportionality .

To prove

As given

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

[tex]y \propto x[/tex]

y = kx

Where k is the constant of proportionality.

48 = 3k

[tex]k = \frac{48}{3}[/tex]

k = 16

Therefore the constant of proportionality is 16.

The constant of proportionality that relates the number of cups with x and the number of cookies with y is 16

The given parameters are:

Cups (x) = 3

Cookies (y) = 48

Represent the number of cups with x and the number of cookies with y.

So, the constant of proportionality (k) is calculated using:

[tex]\mathbf{k = \frac{y}{x}}[/tex]

The above equation becomes

[tex]\mathbf{k = \frac{48}{3}}[/tex]

Divide 48 by 3

[tex]\mathbf{k = 16}[/tex]

Hence, the constant of proportionality is 16

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