Otto used 5.5 cups of whole wheat flour and *x* cups of white flour in the recipe. What is the equation that can be used to find the value of *y*, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of *x* and *y*?

To determine the total amount of flour that Otto used in the recipe, we can set up an equation that incorporates the given amounts of whole wheat flour and white flour.

### Equation:

The total amount of flour (\(y\)) used in the recipe is the sum of the whole wheat flour (5.5 cups) and the white flour (\(x\) cups).

Therefore, the equation is:
\[ y = 5.5 + x \]

### Constraints:

The constraints on the values of \(x\) and \(y\) are as follows:

1. **Non-negativity**: The amounts of flour cannot be negative.
   - \( x \geq 0 \)
   - \( y \geq 5.5 \) (since 5.5 cups of whole wheat flour is already used)

2. **Practical constraints**: Typically, the total amount of flour would be a reasonable amount for a recipe. This might imply an upper limit depending on the context (e.g., not more than 20 cups), but without additional context, we focus on the non-negativity constraint.

### Summary:
The equation to find the total amount of flour used in the recipe is:
\[ y = 5.5 + x \]

The constraints on \(x\) and \(y\) are:
\[ x \geq 0 \]
\[ y \geq 5.5 \]

Would you like more details or have any questions?

Here are 5 numbered questions you might ask next:
1. How do you solve the equation \( y = 5.5 + x \) for \(x\)?
2. What if Otto used twice as much white flour as whole wheat flour? What would the equation be?
3. How can we graph the equation \( y = 5.5 + x \) and its constraints?
4. What would be the effect on the total flour if the amount of whole wheat flour was increased by 2 cups?
5. Can you explain how to convert the equation \( y = 5.5 + x \) into a different form?

### Tip:
When working with equations involving real-world quantities, always consider the practical constraints and context to ensure the values make sense.

Learn how to find the total amount of flour used in a recipe with the equation y = 5.5 + x. This problem covers basic algebraic concepts and practical constraints in recipe measurements. Suitable for students in Grades 5-7.

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