To estimate the number of catfish in the lake based on the sample data, we can set up a proportion using the number of catfish in the sample and the total number of fish in the sample:
Catfish in sample: 52
Total fish in sample: 52 + 61 + 87 = 200
Let x be the estimated number of catfish in the lake when a sample of 800 fish is collected:
52/200 = x/800
Cross multiply:
200x = 52 * 800
200x = 41600
x = 41600/200
x = 208
Therefore, the estimated number of catfish in the lake when a sample of 800 fish is collected is 208.
So, the correct answer is:
208
M07.D-S.1.1.2
The table below shows the data for a random sample of fish that were collected from and later released into a lake:
Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87
How many catfish are estimated to be present if a sample of 800 fish is collected from the lake?
(5 points)
Group of answer choices
372
208
260
348
1 answer