A fish and game worker catches, tags, and releases 120 trout in a lake, Later she catches 84 trouts and finds tags on 30 of them. Estimate the total number of trout in the lake
a.43
b.234
c.336
d.3,600
120/30 = x/84
Solve for x.
To estimate the total number of trout in the lake, we can use a technique called "mark and recapture."
The fish and game worker caught, tagged, and released 120 trout initially. Later, she caught 84 trout and found tags on 30 of them.
Now, let's set up a proportion using the mark and recapture technique:
(Number of tagged fish initially) / (Total number of fish in the lake) = (Number of tagged fish recaptured) / (Total number of fish recaptured)
Applying the values from the problem:
120 / Total number of fish in the lake = 30 / 84
To find the total number of fish in the lake, we can cross-multiply and solve for it:
30 * Total number of fish in the lake = 120 * 84
(30/84) * Total number of fish in the lake = 120
Total number of fish in the lake ≈ (120 * 84)/(30/84) ≈ 336.
Therefore, the estimate for the total number of trout in the lake is approximately 336.
Answer: c. 336
IT's 336
hi