Question 697537: Using exponential best-fit model for(2, 3.2) (5, 204.8) (7, 3276.68) what is the initial value
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Using exponential best-fit model for(2, 3.2) (5, 204.8) (7, 3276.68) what is the initial value
:
Using the form
Ao*a^x = A
:
Assume that x=0 when A = 3.2, then when x=5, A=3276.68, find a
3.2*a^5 = 3276.68
a^5 = 
a^5 = 1023.96
a = 1023.96^(1/5); find the fifth root
a ~ 4
:
A = 3.2*4^(x-2)
Produces the data as follows
2, 3.2
5, 204.8
7, 3276.8
:
Find the initial amt x=0
A = 3.2*4^(0-2)
A = 3.2*4^-2
A = .2 is the initial amt
:
Now we can write the equation
 , almost a perfect fit
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