To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has increased by 9.3%.

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

Write an exponential function showing the relationship between y and t.

The formula for exponential growth is:

Total = starting value x (1 + rate)^ time

Using the information in the problem the formula would be:

y = 2300(1.093)^t

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

step-by-step explanation: