Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is `3/4` cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults.
Which of the following could be the graph of the number of calories from fat in Crunchy Grain cereal as a function of the number of `3/4` -cup servings of the cereal?

Options

A.
B.
C.
D.

Explanation

To determine which graph represents the number of calories from fat in Crunchy Grain cereal as a function of the number of `3/4`-cup servings, we can follow these steps:

### Step 1: Understand the relationship between servings and calories from fat.
Each serving of Crunchy Grain cereal provides 50 calories from fat. Therefore, if we denote the number of servings as \( x \), the total calories from fat can be expressed as:
\[ \text{Calories from fat} = 50 \times x \]

### Step 2: Identify the characteristics of the graph.
- When \( x = 0 \) (no servings), the calories from fat should also be \( 0 \). Thus, the graph should start at the origin (0,0).
- As the number of servings increases, the calories from fat will increase linearly. This means the graph should have a positive slope.

### Step 3: Analyze the options given.
- **Option A**: Starts at the origin (0,0) and has a positive slope. This matches our expectations.
- **Option B**: Has a positive slope but does not start at the origin. This is incorrect.
- **Option C**: Has a negative slope. This is incorrect because calories should increase with servings.
- **Option D**: Is parallel to the x-axis, indicating that calories do not change with servings. This is incorrect.

### Conclusion:
The correct graph is **Option A**, as it starts from the origin and has a positive slope, indicating that as the number of servings increases, the calories from fat also increase.

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