Final answer:
After approximately 342.86 days, there will be 2,401 flies.
Step-by-step explanation:
The function f(x) = 7x + 1 models the fly population in a controlled experiment after x days.
We are given that the number of flies is 2,401. We need to find the value of x when f(x) = 2,401.
7x + 1 = 2,401
Subtracting 1 from both sides:
7x = 2,400
Dividing both sides by 7:
x = 342.86 approximately
Therefore, after approximately 342.86 days, there will be 2,401 flies.