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Let's start by addressing the first question visible in the image:

**Question 1:**
"A recipe calls for 3 ounces of flour for every 2 ounces of sugar. Find the constant of proportionality."

### Solution:
The constant of proportionality, \( k \), in this case, is the ratio of the amount of flour to the amount of sugar, which is given by:

\[
k = \frac{\text{flour}}{\text{sugar}} = \frac{3 \, \text{oz of flour}}{2 \, \text{oz of sugar}} = \frac{3}{2} = 1.5
\]

Thus, the constant of proportionality is \( k = 1.5 \).

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Let me know if you'd like details for the next question or further clarification.

Here are five related questions to explore:

1. If a recipe calls for 6 ounces of flour, how many ounces of sugar would be needed to maintain the same ratio?
2. What would be the constant of proportionality if the recipe called for 5 ounces of flour and 3 ounces of sugar?
3. How can you write an equation that models the relationship between flour and sugar based on the given ratio?
4. If you increase both the flour and sugar quantities by the same factor, does the constant of proportionality change?
5. What is the unit rate of sugar per ounce of flour?

**Tip:** Always make sure that when you're working with ratios, you keep the units consistent, and simplify the ratio when possible!

A recipe calls for 3 ounces of flour for every 2 ounces of sugar. Find the constant of proportionality.

Learn how to find the constant of proportionality in a recipe with 3 ounces of flour and 2 ounces of sugar. The solution uses simple ratios and proportionality, suitable for students in Grades 6-8.

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