To determine the proportional relationship between the amount of seaweed powder \( s \) and the amount of fish powder \( f \), we need to analyze the data points provided and find the relationship that holds true for all of them.
Let's first calculate the ratio between \( f \) and \( s \) for the given data points:
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\( f = 8.6 \) when \( s = 21.5 \) \[ \frac{f}{s} = \frac{8.6}{21.5} \approx 0.4 \]
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\( f = 14.2 \) when \( s = 35.5 \) \[ \frac{f}{s} = \frac{14.2}{35.5} \approx 0.4 \]
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\( f = 27.4 \) when \( s = 68.5 \) \[ \frac{f}{s} = \frac{27.4}{68.5} \approx 0.4 \]
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\( f = 32.6 \) when \( s = 81.5 \) \[ \frac{f}{s} = \frac{32.6}{81.5} \approx 0.4 \]
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\( f = 51.8 \) when \( s = 129.5 \) \[ \frac{f}{s} = \frac{51.8}{129.5} \approx 0.4 \]
From this analysis, we can see that the ratio \( \frac{f}{s} \) remains approximately constant at \( 0.4 \) for the data provided. Therefore, we can express this ratio as:
\[ f = \frac{2}{5}s \]
Thus, the equation that represents the proportional relationship between the amount of seaweed powder \( s \) and the amount of fish powder \( f \) is:
B. \( f = \frac{2}{5}s \).