Answer: There are an estimated of 622 trouts in the lake.
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You know that:
- The conservationist catches 126 trout.
- Then, 158 trout are caught, and 32 of them are tagged.
2. Therefore, you can write the following ratio, where x is the number of trout in the lake. Then, when you solve for x, you obtain the following result:
[tex]\frac{32}{158}=\frac{126}{x}\\x=622.12[/tex]