Question

A recipe says to use 5 cups of flour to make 60 brownies. What is the constant of proportionality that relates the number of brownies made, y, to the number of cups of flour used, x?

Answer 1

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

Step-by-step explanation:

The constant of proportionality that relates the number of brownies made, y, to the number of cups of flour used, x, can be found by setting up a proportion.

In this case, the recipe states that 5 cups of flour make 60 brownies.

So the proportion would be:

5 cups/60 brownies = x cups/y brownies

To find the constant of proportionality, we can cross-multiply and solve for x:

x = (5 cups * y brownies) / 60 brownies

x = (5/60) * y cups

= y/12 cups

Therefore, the constant of proportionality is y/12 cups.