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To answer question 2 in the image:

The problem provides data about a 12-ounce bottle of orange juice containing 33 grams of sugar and asks to explain why the relationship between the volume of orange juice and the amount of sugar is proportional.

### Explanation:
A proportional relationship means that as one quantity changes, the other changes in a consistent, constant ratio. In this case, if we compare different volumes of orange juice, the amount of sugar should increase or decrease in the same ratio.

Given dataTo answer question 2 in the image:

The problem provides data about a 12-ounce bottle of orange juice containing 33 grams of sugar and asks to explain why the relationship between the volume of orange juice and the amount of sugar is proportional.

### Explanation:
A proportional relationship means that as one quantity changes, the other changes in a consistent, constant ratio. In this case, if we compare different volumes of orange juice, the amount of sugar should increase or decrease in the same ratio.

Given 
- For a 12-ounce bottle, there are 33 grams of sugar.
  
To verify proportionality:
1. Calculate the ratio of sugar to juice volume for the bottle:  
   \[
   \frac{33 \text{ grams of sugar}}{12 \text{ ounces}} = 2.75 \text{ grams of sugar per ounce}
   \]
   
If other container sizes (like glass, carton, or jug) maintain this same ratio (2.75 grams per ounce), then the relationship is indeed proportional.

### Completing the Table
For each container, multiply the volume of orange juice by 2.75 grams to get the amount of sugar:
- **Glass (8 oz):** \(8 \times 2.75 = 22\) grams of sugar
- **Carton (32 oz):** \(32 \times 2.75 = 88\) grams of sugar
- **Jug (128 oz):** \(128 \times 2.75 = 352\) grams of sugar

This shows that for any container size, the sugar amount maintains a constant ratio, confirming the proportional relationship between the orange juice volume and sugar amount.

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Would you like a detailed breakdown of any step, or have any further questions?

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### Related Questions:
1. What is the definition of a proportional relationship in mathematics?
2. How would the sugar amount change if the bottle size was doubled?
3. What happens to the ratio of sugar per ounce if you add more sugar without increasing the juice?
4. How can you verify if a set of data points forms a proportional relationship?
5. What other real-life examples can you think of that involve proportional relationships?

#### Tip:
When dealing with proportional relationships, dividing one quantity by the other should always yield the same ratio across different values.

Explain why the relationship between the volume of orange juice and the amount of sugar is proportional, based on a 12-ounce bottle of orange juice containing 33 grams of sugar.

Learn to explain the proportional relationship between the volume of orange juice and the sugar content based on a 12-ounce bottle with 33 grams of sugar. Calculate sugar per ounce and verify the consistency across different container sizes.

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