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For a research study, $65$ marmots were tagged and set free. Later, the researchers returned to the site and found $17$ tagged marmots out of the $340$ marmots they counted. To the nearest whole number, what is the best estimate for the marmot population?

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Estimate population size using proportions

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Q. For a research study,

65

marmots were tagged and set free. Later, the researchers returned to the site and found

17

tagged marmots out of the

340

marmots they counted. To the nearest whole number, what is the best estimate for the marmot population?

Identify Tagged Marmots: Identify the proportion of tagged marmots found. $\newline$ Calculation: $17$ tagged marmots found out of $65$ tagged. $\newline$ Proportion = $\frac{17}{65}$
Calculate Proportion: Apply the proportion to estimate the total population. $\newline$ Calculation: $17$ tagged marmots represent the same proportion in the total population of $340$ marmots. $\newline$ Estimated total population = $(65 / 17) * 340$

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