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Jennifer bought a box of Crunchy Grain c...

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?

A

B

C

D

Text Solution

AI Generated Solution

The correct Answer is:
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. ---

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: \[ \text{Calories from fat} = 50 \times x \] ...
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