A fisherman decided to stock his favorite lake with a few fish that are not native to the region. The fish he introduces have no natural predators in the lake and they experience a large exponential growth. The introduction of an invasive species can be very detrimental to an ecosystem and there have already been noted effects. The National Fish and Wildlife Foundation has asked for your help.

Question

anonymous · Answer

Create the data to fill in the population table. Be creative when selecting the P(x) values, but remember that this is an exponential growth model.  Notice that you even need to come up with how many fish the fisherman introduces to the lake.


Months              Population
0                        ?
1                        ?
2                        ?
3                        ?

anonymous · Answer

Months (x)	    Population P(x)
0	            50
1	            250
2	            1,250
3	            6,250

Next, describe how to create the exponential function represented by your table. Use complete sentences and arrive at a final exponential function, P(x).

anonymous · Answer

I don't know what to do next :(