Game wardens use experiments to help determine the number of fish in a lake. Suppose 80 fish are caught, tagged, and released back into the lake. Two weeks later, 120 fish are caught, three of which are found to have tags. Using this information, estimate the number of fish in the lake.

Question

A. 3200.
B. 600.
C. 120.
D. 280.

Answer 1

We can use a proportion to estimate the number of fish in the lake. Let x be the total number of fish in the lake. We can set up the proportion:

80/x = 3/120

Simplifying this proportion, we get:

80/x = 1/40

Multiplying both sides by x, we get:

80 = x/40

Multiplying both sides by 40, we get:

x = 3200

Therefore, the estimated number of fish in the lake is 3200. The answer is A.