Question

An island has 12 fur seal rookeries​ (breeding places). To estimate the fur seal pup population in Rookery​ A, 6334 fur seal pups were tagged in early August. In late​ August, a sample of 1200 pups was​ observed, and 205 of these were found to have been previously tagged. Use a proportion to estimate the total number of fur seal pups in Rookery A.

Answer 1

Answer:

37080

Step-by-step explanation:

To solve this problem we need to use proportions:

We don't know the total population in Rookery A but we know that 6334 of the total were tagged. Later, from a sample of 1200 pups, 205 were previously tagged.

The proportions we get are:

$\frac{p}{6334} =\frac{1200}{205}$ where p is the total population.

Now we will solve the proportion for p:

$\frac{p}{6334} =\frac{1200}{205}\\p=\frac{(6334)(1200)}{205} \\p=\frac{7600800}{205} \\p=37077.07$

Therefore the total number of fur seal pups is 37077 ≈ 37080