We approach this problem by doing a simple proportion. If the biologists found 11 tagged out of 82 penguins, then we can estimate that the same percentage of penguins were tagged during mating season.
The proportion should therefore be [tex]x:53=82:11[/tex] where x is the total number of penguins. Solving this proportion we can find the value of x:
[tex]11x=53(82)[/tex]
[tex]11x=4346[/tex]
[tex]x=395.09[/tex]
Since there is no such thing as half a penguin, we can round off the answer to the nearest unit.
ANSWER: B. We can estimate that there are 395 penguins in the area.
