Exponential Functions of population growth and decay

[codybandbonnie]

How do you figure this out?

f(x)=?

Year Population
1 2
10 5
20 12
30 22
40 25

I am trying to help my grandson and have become very confused.

 

[lookagain]

How do you figure this out?

f(x)=?

Year Population
1 2
10 5
20 12
30 22
40 25

I am trying to help my grandson and have become very confused.

codybandbonnie,

please read:

http://www.freemathhelp.com/forum/threads/41538-Read-Before-Posting!!


If you want assistance, then please post the work done so far
by your (alleged) grandson.

 

[pappus]

How do you figure this out?

f(x)=?

Year Population
1 2
10 5
20 12
30 22
40 25

I am trying to help my grandson and have become very confused.

Could it be that the last pair is actually (40, 35) ?

If so you have an arithmetic sequence of 2nd degree which satisfies the equation

\(\displaystyle y = a n^2 + b n +c \)

How to obtain the coefficients a, b and c compare JeffM's post.