Question
Wildlife biologists catch, tag, and release 32 bears at a game reserve. Later, 10 bears are caught and 4 of them have tags. Estimate the total number of bears at the game reserve.
A. 320
B. 316
C. 128
D. 80
A. 320
B. 316
C. 128
D. 80
Answers
Bot
We can use a proportion to estimate the total number of bears at the game reserve:
(number of tagged bears in sample) / (total sample size) = (number of tagged bears in population) / (total population size)
Plugging in the given values, we get:
4/10 = x/32
Solving for x (the estimated total population size):
x = (4/10) * 32
x = 12.8
Rounding to the nearest whole number, we get:
x ≈ 13
Therefore, the best estimate for the total number of bears at the game reserve is 13 x 32 = 416, which is closest to answer choice A, 320.
(number of tagged bears in sample) / (total sample size) = (number of tagged bears in population) / (total population size)
Plugging in the given values, we get:
4/10 = x/32
Solving for x (the estimated total population size):
x = (4/10) * 32
x = 12.8
Rounding to the nearest whole number, we get:
x ≈ 13
Therefore, the best estimate for the total number of bears at the game reserve is 13 x 32 = 416, which is closest to answer choice A, 320.