https://file.aiquickdraw.com/mathbot/file/1726793394978gl3fs6s9.jpg

From the image, it looks like a problem about creating a matrix based on nutritional values in food menus. Here’s the breakdown of the problem in the text:

**Problem Summary:**
Pak Imam must calculate the total nutrients he consumes from three available menus, denoted as A, B, and C. The nutrients per portion for each menu are provided:
- **Menu A:** 1 gram fat, 2 grams carbohydrates, 3 grams protein.
- **Menu B:** 2 grams fat, 1 gram carbohydrate, 3 grams protein.
- **Menu C:** 2 grams fat, 4 grams carbohydrates, 3 grams protein.

The total recommended intake is 15 grams of fat, 24 grams of carbohydrates, and 30 grams of protein.

The question asks which matrix represents the data provided, and the options show various matrices.

### Step-by-Step Matrix Formation:
1. **Menu A:** \[1, 2, 3\] (Fat, Carbs, Protein).
2. **Menu B:** \[2, 1, 3\].
3. **Menu C:** \[2, 4, 3\].

Thus, the matrix combining all this data should be:
\[
\begin{bmatrix}
1 & 2 & 3 \\
2 & 1 & 3 \\
2 & 4 & 3
\end{bmatrix}
\]

Now you can look at the answer options and choose the correct matrix representation.

Do you need further explanation or assistance with any details?

Here are some additional questions for you:
1. How do you interpret matrix multiplication in nutrition calculations?
2. What other information could this matrix help calculate in terms of diet?
3. Could this data be used to form equations and solve for optimal menu portions?
4. How might we represent this information graphically?
5. How does linear algebra relate to practical dietary calculations?

**Tip:** When forming a matrix for a real-life problem, ensure that each row or column consistently represents the same type of data, like nutrients per menu here.

Pak Imam must calculate the total nutrients consumed from three available menus. The nutrients per portion for each menu are as follows: Menu A contains 1 gram of fat, 2 grams of carbohydrates, and 3 grams of protein. Menu B contains 2 grams of fat, 1 gram of carbohydrate, and 3 grams of protein. Menu C contains 2 grams of fat, 4 grams of carbohydrates, and 3 grams of protein. The recommended total nutrient intake is 15 grams of fat, 24 grams of carbohydrates, and 30 grams of protein. Which matrix represents the data provided?

Solve a real-life problem involving matrix representation of nutrient values from different menus. Understand how to create a matrix from given nutritional information and interpret the recommended nutrient intake. This exercise covers key matrix concepts, suitable for Grades 9-12.

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