jacob109607
contestada

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

Respuesta :

TaeKwonDoIsDead

Answer:

24


Step-by-step explanation:

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

[tex]A=kB[/tex]

Where,

  • A & B are the 2 variables being compared
  • [tex]k[/tex] is the constant of proportionality

Using cookies, [tex]y[/tex], and sugar, [tex]x[/tex], we can write:

[tex]y=kx[/tex]

Substituting [tex]y=96[/tex] and [tex]x=4[/tex], and solving for [tex]k[/tex], we have:

[tex]96=k(4)\\\frac{96}{4}=k\\k=24[/tex]

Thus, constant of proportionality is 24