How to approximate a function (express by formula ) by Points?

Question

Mathematics

We have 5 coordinates of points x;y
100;0.1
50;0.3
10;3
5;8
1;18
How can we express this function as a formula?

Answer 1

Pretty well these data are approximated by the exponent:
y=y0 + A*e^(x/t).
For example, with the following coefficients (R^2=0.99991):
100;0.20
50;0.20
10;2.99
5;8.01
1;18.00