Question

A recipe says to use 4 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?

Option 1: 48/4
Option 2: 4
Option 3: 12
Option 4: 0.08

Answer 1

The constant of proportionality that relates the number of cookies made to the number of cups of flour used is 12.

Step-by-step explanation:

To find the constant of proportionality in this situation, we can set up a proportion using the given information. The recipe states that 4 cups of flour are used to make 48 cookies. So, the proportion would be:

4 cups / 48 cookies = x cups / y cookies

To solve for x (the constant of proportionality), we can cross multiply:

4y = 48x

Simplifying the equation gives us:

y = 12x

Therefore, the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x, is 12.