Final answer:
To find out how many trout you would expect in the creek based on your sample, use a proportion - 4 trout / 7 fish = x trout / 406 fish. Solving for x gives us approximately 232 trout.
Step-by-step explanation:
To find out how many trout you would expect in the creek based on your sample, you can set up a proportion using the information given. The proportion can be set up as:
Number of trout caught / Total number of fish caught = Number of trout in the creek / Total number of fish in the creek
Using the data given, the proportion would look like this:
4 trout / 7 fish = x trout / 406 fish
Cross-multiplying and solving for x:
4 * 406 = 7 * x
1624 = 7 * x
x = 1624 / 7
x ≈ 232
Therefore, based on your sample, you would expect there to be approximately 232 trout in the creek.