To determine the proportional relationship between the amount of seaweed powder \(s\) and the amount of fish powder \(f\), we can start by analyzing the given data to see if there is a constant ratio between \(s\) and \(f\).
We can calculate the ratio \( \frac{s}{f} \) for each pair of values:
- For \( s = 21.5 \) and \( f = 8.6 \):
\[ \frac{s}{f} = \frac{21.5}{8.6} \approx 2.5 \]
- For \( s = 35.5 \) and \( f = 14.2 \):
\[ \frac{s}{f} = \frac{35.5}{14.2} \approx 2.5 \]
- For \( s = 68.5 \) and \( f = 27.4 \):
\[ \frac{s}{f} = \frac{68.5}{27.4} \approx 2.5 \]
- For \( s = 81.5 \) and \( f = 32.6 \):
\[ \frac{s}{f} = \frac{81.5}{32.6} \approx 2.5 \]
- For \( s = 129.5 \) and \( f = 51.8 \):
\[ \frac{s}{f} = \frac{129.5}{51.8} \approx 2.5 \]
Since all the ratios are approximately equal to \(2.5\), we can express the proportional relationship as:
\[ s = 2.5 f \]
To express it in a more standard form, we can rearrange it as:
\[ \frac{s}{f} = 2.5 \quad \text{or} \quad s = 2.5f. \]
Thus, the equation that represents the proportional relationship between the amount of seaweed powder and the amount of fish powder in the fertilizer is:
\[ s = 2.5f. \]
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