The bacteria has an initial population of 2000 cells and increases at a rate of 40% per hour. Use the exponential function to model the growth/decay of bacteria.

Question

asked Jan 18, 2019 222k views

2 Answers

Etgar · Answer 1 · 2019-01-24T08:06:28+0000

Here given, initial population of bacteria = 2000 cells

Also given, the population increases at a rate of 40% per hour.

As the population is increasing so we will use the formula for exponential growth. The formula is
A = Pe^((rt))

Where, P = initial amount, r = growth rate, t = time, A = final amount.

So here, P = 2000, r = 40% =
(40)/(100) = 0.4 , t = time in hours

We will plug in the values in the formula. we will get,

A = 2000e^((0.4t))

We have got the required function to model the growth of the bacteria.

The required function is
A = 2000e^((0.4t))