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

24

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)\\(96)/(4)=k\\k=24`

Thus, constant of proportionality is 24