To determine which point could be on the line that Chung Lee drew, we first need to understand the relationship between the number of strawberry slices and banana slices given in the data:
- For 2 cupcakes: 4 strawberries and 6 banana slices
- For 4 cupcakes: 8 strawberries and 12 banana slices
- For 6 cupcakes: 12 strawberries and 18 banana slices
- For 8 cupcakes: 16 strawberries and 24 banana slices
From the data, we can observe that the relationship is linear. We can express the number of banana slices \( b \) in terms of the number of strawberry slices \( s \):
- For 2 cupcakes (4 strawberries, 6 bananas): \( (4, 6) \)
- For 4 cupcakes (8 strawberries, 12 bananas): \( (8, 12) \)
- For 6 cupcakes (12 strawberries, 18 bananas): \( (12, 18) \)
- For 8 cupcakes (16 strawberries, 24 bananas): \( (16, 24) \)
Now, let's express the known points in terms of the coefficients from the linear relationship. Notably, with each increase of 4 strawberries, the banana slices increase by 6.
This can be expressed as the following linear relationship: \[ b = \frac{3}{2}s \] Where:
- \( \text{slices of banana} = \frac{3}{2} \times \text{slices of strawberry} \)
Next, we will check each of the given options (A, B, C, D) to see if they satisfy this equation.
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A (1, 3): \[ 3 = \frac{3}{2} \cdot 1 \quad \Rightarrow \quad 3 = 1.5 \quad (\text{not true}) \]
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B (3, 2): \[ 2 = \frac{3}{2} \cdot 3 \quad \Rightarrow \quad 2 = 4.5 \quad (\text{not true}) \]
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C (2, 3): \[ 3 = \frac{3}{2} \cdot 2 \quad \Rightarrow \quad 3 = 3 \quad (\text{true}) \]
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D (1, 2): \[ 2 = \frac{3}{2} \cdot 1 \quad \Rightarrow \quad 2 = 1.5 \quad (\text{not true}) \]
The point that satisfies the linear relationship is C (2, 3). Therefore, the answer is C.
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