A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between $$ s $$, the amount of sugar in millilitershand $$ f $$, the number of flavor packages for this recipe.

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To model the relationship between the amount of sugar $$ s $$ (in milliliters) and the number of flavor packages $$ f $$ for the tropical punch recipe, you can use a linear equation based on the given ratio.

**Given:**
- 300 ml of sugar is needed for every 2 flavor packages.

**Step-by-Step Reasoning:**

1. **Determine the ratio of sugar to flavor packages:**
   
   $$
   \frac{300 \, \text{ml}}{2 \, \text{packages}} = 150 \, \frac{\text{ml}}{\text{package}}
   $$

2. **Express the relationship as an equation:**
   
   Since the amount of sugar $$ s $$ is directly proportional to the number of flavor packages $$ f $$, you can write:

$$
   s = 150f
   $$

- **$$ s $$**: Amount of sugar in milliliters.
   - **$$ f $$**: Number of flavor packages.

**Final Equation:**

$$
s = 150f
$$

**Interpretation:**
- For each additional flavor package $$ f $$, you need an additional 150 ml of sugar $$ s $$.
- If you have, for example, 4 flavor packages, the amount of sugar required would be:

$$
  s = 150 \times 4 = 600 \, \text{ml}
  $$

This equation allows you to calculate the required amount of sugar based on the number of flavor packages used in the recipe.

**Answer:**
$$
s = 150\,f
$$
The relationship between the amount of sugar $$ s $$ (in milliliters) and the number of flavor packages $$ f $$ is given by the equation: $$ s = 150f $$

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between \( s \), the amount of sugar in millilitershand \( f \), the number of flavor packages for this recipe.

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