Question

A specific type of bacteria reproduces through binary fission every hour. If there are three bacteria cells to begin with, how many bacterial cells will there be in five hours? Bacterial cells

Answer 1

`96`

Step-by-step explanation:

The population of bacteria can be calculated by using the following formula

`P = P_0 * e^(rt)\\`

Where,

P represents the Population after time period "t"

`P_0` represents the initial population at
`t = 0`

r represents the rate at which population is growing

and t represents the time period in which
`P_0` will become P

Given -

`P_0 = 3\\r = 2 \\t = 5`

Substituting the given values in above equation, we get -

`P = 3 * e^(2 * 5)\\P = 96`

Answer 2

The answer is; 96

Use the following formulae; P(t) = P(0) * e ^rt

P(t) = 3 * 2 ^ 5 = 96

This type of growth is called exponential growth