Question

a recipe calls for 3 ounces of flour for every 2 ounces of sugar. find the constant of proportionality. the constant of proportionality is \boxed{}.

Explanation:

Step1: Define the proportional relationship

Let \( x \) be the amount of flour (in ounces) and \( y \) be the amount of sugar (in ounces). The relationship is proportional, so \( y = kx \), where \( k \) is the constant of proportionality.

Step2: Substitute the given values

We know that when \( x = 3 \) (ounces of flour), \( y = 2 \) (ounces of sugar). Substitute into \( y = kx \): \( 2 = k \times 3 \).

Step3: Solve for \( k \)

To find \( k \), divide both sides by 3: \( k=\frac{2}{3} \).

Answer:

\(\frac{2}{3}\)