#Growth curve relating age and health

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untold lichenBOT
eternal frigate
#

Do you have some data to generate the curve?
Normally you use a lot of data and apply linear or nonlinear regression.
If you only have two points, you can generate infinite different functions, but they will not have to be related to the age issue you are looking for.

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eternal frigate
#

To calculate you take the form that the exponential should have: A*e^(Bx)+ C
For simplicity just consider
-e^(Bx)+ C
Because we only have two points.
Then you evaluate the points to obtain the unknowns
f(x)=-e^(B*x)+ C
f(0)=-e^(B*0)+ C = 1
-1+ C = 1; C=2

f(30)=-e^(B*30)+ 2 = 0
e^(B*30) = 2
B*30 = ln 2
B= ln2 /30

f(x)=-e^((ln2 /30)x)+ 2

eternal frigate
#

The basics at least of exponents and logarithms. Not necessarily e and ln.

vivid scarab
#

.solved