On May 1, 2008, forest service stocked the lake with 125 bluegill fish. On October 1, five months later, they evaluated population of bluegill in lake to be 195. Suppose population of bluegill increased exponentially.
For this population of bluegill, determine:
a. 5-month percent change:
b. 5-month growth factor:
c. 1-month growth factor:
d. 1-month percent change:
e. Is given statement true or false?
The 1-month percent change is 1/5 of 5 month percent change.
f. Explain the function f which provides number of fish in lake t months after May 1, 2008.
g. Explain the function g which provides number of fish in terms of n, number of 5-month periods after May 1, 2008.
h. Use either function graphed on the graphing calculator to find out how many months after May 1 are needed for population to surpass 750 bluegill.