A conservation department releases 1500 brook trout into a lake. It is estimated that the carrying capacity of the lake for the species is 22,400. After the first year, there are 2420 brook trout in the lake. (Hint: y=1+bektL)

1. Determine the logistic equation that models the number of brook trout in the lake.
2. Find the number of brook trout in the lake after 8 years.
3. When will the number of brook trout reach 10,000?