a culture started with 2,000 bacteria. After 4 hours, it grew to 2,200 bacteria. Predict how many bacteria will be present in 9 hours. round your answer to the nearest whole number... exponential growth formula

Question

mathmate · Answer

Do you know if the mathematical model (kind of function) is linear, quadratic, exponential or logarithmic?

anonymous · Answer

no

mathmate · Answer

Most of the time, when you are dealing with population growth or decline, including money, bacteria or wild life, the model used is exponential, because the rate of growth depends on what is currently there.
The mathematical model is 
$y=f(x)=a(b^x)$ where b is the base (related to the rate of growth.
You have been given two scenarios (where x=0, and x=4).
Solve for b and predict the value of f(9), i.e. after nine hours from the start.

anonymous · Answer

o yeah its exponential wow i feel stupid sorry

mathmate · Answer

no problem!  :)