9
QuizMultiple Choice

Unit Analysis

Question 9 • EF Math 12 1st Nine Weeks

To estimate the size of the grizzly bear population in a national park, rangers tagged and released 12 grizzly bears into the park. A few months later, 2 out of 21 grizzly bears sighted were tagged. Assuming the number of tagged bears in the polulation is proportional, estimate the number of grizzly bears in the population of this national park.

Answer
A
24 grizzly bears
B
126 grizzly bears
C
252 grizzly bears
D
22 grizzly bears

Explanation

The tagged bears make up 2 out of 21 bears sighted, so estimate the same fraction of the whole population was tagged. Set up 12 ÷ N = 2 ÷ 21, where N is the population size. Solving gives N = 12 × 21 ÷ 2 = 126. The best answer is 126 grizzly bears.

AI-written and checked against the verified answer.

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