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
Answer:
[tex]96[/tex]
Explanation:
The population of bacteria can be calculated by using the following formula
[tex]P = P_0 * e^{rt}\\[/tex]
Where,
P represents the Population after time period "t"
[tex]P_0[/tex] represents the initial population at [tex]t = 0[/tex]
r represents the rate at which population is growing
and t represents the time period in which [tex]P_0[/tex] will become P
Given -
[tex]P_0 = 3\\r = 2 \\t = 5[/tex]
Substituting the given values in above equation, we get -
[tex]P = 3 * e^{2 * 5}\\P = 96[/tex]
