A group of researchers wanted to monitor the trout population, so they marked 340 trout with tags. Later, they captured 600 trout and found that 30 of them had tags. What is the BEST estimate for the trout population?
Responses
A 6,2006,200
B 6,4006,400
C 6,6006,600
D 6,800
3 answers
6,800
why
This is because the researchers marked 340 trout and later found 30 trout with tags out of 600 that were captured. We can set up a proportion:
340/x = 30/600
Cross-multiplying, we get:
30x = 20400
Dividing by 30 on both sides:
x = 680
Therefore, the best estimate for the trout population is 6800 (340 marked trout multiplied by 20). Thus, the answer is D) 6,800.
340/x = 30/600
Cross-multiplying, we get:
30x = 20400
Dividing by 30 on both sides:
x = 680
Therefore, the best estimate for the trout population is 6800 (340 marked trout multiplied by 20). Thus, the answer is D) 6,800.