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To gather information about the elk population, scientists marked $42$ elk. Later, they flew over the area and counted $360$ elk, of which $24$ were marked. To the nearest whole number, what is the best estimate for the elk population?

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Grade 7

Estimate population size using proportions

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Q. To gather information about the elk population, scientists marked

42

elk. Later, they flew over the area and counted

360

elk, of which

24

were marked. To the nearest whole number, what is the best estimate for the elk population?

Set up proportion: Set up the proportion based on the capture-recapture method used by the scientists.
Cross multiply: Cross multiply to solve for $E$ .
Solve for $E$ : Solve for $E$ by dividing both sides by $24$ .

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To gather information about the elk population, scientists marked 424242 elk. Later, they flew over the area and counted 360360360 elk, of which 242424 were marked. To the nearest whole number, what is the best estimate for the elk population?

To gather information about the elk population, scientists marked $42$ elk. Later, they flew over the area and counted $360$ elk, of which $24$ were marked. To the nearest whole number, what is the best estimate for the elk population?