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Question
while doing research on a local lake, scientists tagged 650 walleye. later, they captured 240 walleye, of which 13 had tags. to the nearest whole number, what is the best estimate for the walleye population?
Step1: Set up proportion
Let \( N \) be the total population. The proportion of tagged fish in the capture should equal the proportion of tagged fish in the population. So \(\frac{13}{240}=\frac{650}{N}\)
Step2: Solve for \( N \)
Cross - multiply: \( 13N = 650\times240 \)
First, calculate \( 650\times240=156000 \)
Then, \( N=\frac{156000}{13} \)
\( N = 12000 \)
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12000