Final answer:
The constant of proportionality that relates the number of cookies made to the number of cups of flour used is 16.
Step-by-step explanation:
To find the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x, we can set up a proportion using the given information:
3 cups / 48 cookies = x cups / y cookies
Cross-multiplying, we get: 3y = 48x
Divide both sides by 48, we get: y = 16x
Therefore, the constant of proportionality is 16.