Question 1103928
<pre>
Time in Hours:        0 |  1  |  2  |  3   |   4  |   5  |  6   |  7  |

Number of Bacteria: 500 | 645 | 825 | 1060 | 1360 | 1750 | 2250 | 2890  , call each Y

log base 10 of Y:  2.70 | 2.81| 2.92| 3.03 | 3.13 | 3.24 | 3.35 | 3.46

Difference            0.11   0.11  0.11  0.10   0.11   0.11    0.11
</pre>

Notice that the differences in log base 10 for Y are nearly all the same, 0.11.  This means {{{log(10,Y)}}}  is a linear function of time x in hours.  You could choose as a vertical axis intercept,  (0, 2.70).  The goal is to finally get an exponential function but you can start with the linear form of it.


{{{log((Y))=0.11x+2.70}}}, continue from here.
(Or better,  {{{log((Y))=0.11x+log((500))}}} ).


You can get  {{{highlight(Y=500*10^(0.11x))}}}


-
You could choose base other than 10 and find something similar.