The function f(x) = 16(2)x represents the growth of a bee population every year in a remote swamp. jennifer wants to manipulate the formula to an equivalent form that calculates two times a year, not just once a year. which function is correct for jennifer's purpose, and what is the new growth rate?

The function f(x) = 16 represents the growth of a bee population every year in a remote swamp.

Jennifer want to calculate twice a year so we change 2 to . Also we multiply x by 2

f(x) = 16

f(x) =

f(x)= 16

The function for Jennifer's purpose is f(x)= 16

We know y= a(1+r)^t is exponential growth

where 'r' is the growth rate

From the function we got 1 + r= 1.414

1 + r = 1.414

r = 0.414

Now we multiply by 100

So r= 41%

So growth rate = 41%

- 1.613 = -1.6 or -1.61

-1.522 = -1.5 or -1.52

0.587 = 0.6 or 0.59

3.079 = 3.1 or 3.08