Question

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.

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. @SolomonZelman

Answer 1

Notice that you even need to come up with how many fish the fisherman introduces to the lake.


Months
(x) Population
P(x)
0
1
2
3

Answer 2

@ganeshie8

Answer 3

okay so you want to create the table,
say the fish population doubles every month

Answer 4

ok so times 2

Answer 5

yup !
and wat about the initial starting population
lets say 100 ?

Answer 6

100
200
400
800

Answer 7

then,
after 1 month, the population doubles, P(x) = 100*2 = 200

Answer 8

Yes ! good

Answer 9

we only have to put for three months right?

Answer 10

0 100*2^0 = 100
1 100*2^1 = 200
2 100*2^2 = 400
3 100*2^3 = 800
....
x 100*2^x

Answer 11

correct, the table asks oly for the values upto 3 months

Answer 12

ok thats it?

Answer 13

thats it :)

Answer 14

ok lol there is another part to this. Describe how to create the exponential function represented by your table. Use complete sentences and arrive at a final exponential function, P(x).

Answer 15

@ganeshie8

Answer 16

we're done wid that part also :)
you need to describe the function though

Answer 17

exponential function that represents the table is below :-

\(\large P(x) = 100*2^x\)

Answer 18

how do i describe it

Answer 19

describe wat each part describes above, in ur own words

Answer 20

100 = starting population of fish right ?
2 = rate of growth of fish per month ?
x = months passed ?

Answer 21

frame that info into a short paragraph..

Answer 22

@ganeshie8

Answer 23

@Hero

Answer 24

let's say i use this data. how would you calculate when the population of the fish reaches 500? @ganeshie8

Answer 25

and how would you find the rate of growth per week?