Answer: x represents the time period.
C= 3000 and a = 2
Step-by-step explanation:
The given equation is [tex]f(x)=Ca^x[/tex] which is an exponential equation. (i)
The general form of the exponential equation is :
[tex]f(x)=Ab^x[/tex] (ii)
, where A = initial value and b= multiplicative factor, and x is the time.
As compare both of the equation in (i) and (ii) , we get
A= C , and b= a
Since there are initially 3000 bacteria, and this sample doubles in size every hour.
i.e. C= 3000 (Initial) and a= 2 (multiplicative factor).