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
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