<PRE><B>Question 267560</B>
At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000.
 Write an exponential function to model the population y of bacteria x hours after 2pm.
:
Ao*k^x = A
where
Ao is the initial amt
k = constant factor
x = time in hrs
A = resulting amt
;
Write an equation from the 1st statement, x = 2 hrs, find k 
100 * k^2 = 4000
k^2 = {{{4000/100}}}
k^2 = 40
k = {{{sqrt(40)}}}
k = 6.3246
:
The equation
y = 100(6.3246^x)
 </PRE>