Question

What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of sugar used, x ? A recipe says to use 4 cups of sugar to make 96 cookies

Answer 1

Answer:

24

Step-by-step explanation:

Direct variation (with constant of proportionality) has the form:

$A=kB$

Where,

• A & B are the 2 variables being compared
• $k$ is the constant of proportionality

Using cookies, $y$, and sugar, $x$, we can write:

$y=kx$

Substituting $y=96$ and $x=4$, and solving for $k$, we have:

$96=k(4)\\\frac{96}{4}=k\\k=24$

Thus, constant of proportionality is 24