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

   - The constant of proportionality \( k \) can be found by dividing the amount of flour by the amount of sugar.
   \[
   k = \frac{\text{flour}}{\text{sugar}} = \frac{3}{2} = 1.5
   \]
   So, the constant of proportionality is **1.5**.

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2. **Problem 2**:  
   Percy rides his bike at a constant rate. You are likely asked to determine the relationship between distance and time for constant speed, but the rest of the details are not fully visible. Assuming it asks for something like constant of proportionality (rate of travel), you would need the distance traveled and time taken to find it.

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3. **Problem 3 (a)**:  
   Water is dripping from a faucet into a bowl at a constant rate. The number of milliliters of water in the bowl is \( y \), and the time in seconds is \( x \). The problem asks to find the constant of proportionality for the relationship between \( y \) (milliliters of water) and \( x \) (time in seconds).

   - The constant of proportionality is the rate of water flow, which would be given as:
   \[
   k = \frac{\text{milliliters of water}}{\text{time (seconds)}}
   \]
   The exact values would be in the table, which is partially visible. From the table or given data, calculate the ratio.

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4. **Problem 3 (b)**:  
   Apply math models to write an equation representing this relationship.

   - The equation will have the form \( y = kx \), where \( k \) is the constant of proportionality (rate of flow).

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5. **Problem 4 (a)**:  
   The relationship between \( x \) and \( y \) is proportional. When \( x = 29 \), \( y = 275.5 \). Find the constant of proportionality.

   - The constant of proportionality \( k \) is:
   \[
   k = \frac{y}{x} = \frac{275.5}{29} = 9.5
   \]
   So, the constant of proportionality is **9.5**.

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Would you like more details on any specific problem, or help with any of the remaining parts? Here are 5 related questions to expand your understanding:

1. What does the constant of proportionality represent in real-world scenarios?
2. How can you determine the unit of the constant of proportionality?
3. What happens if the time in Problem 3 doubles? How will that affect the amount of water?
4. If Percy rides his bike for twice the time at the same rate, how far will he travel?
5. How can you apply the concept of proportionality to solve problems involving speed and distance?

**Tip**: Always remember that the constant of proportionality is a rate that connects two variables in a directly proportional relationship.

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

Solve a proportionality problem involving a recipe that requires 3 ounces of flour for every 2 ounces of sugar. Learn how to calculate the constant of proportionality using the formula k = y / x. Suitable for students in Grades 6-8.

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