contestada

1. The current population of a certain bacteria is 6336 organism. It is believed that bacteria's population is tripling every 10minutes. Approximate the population of the bacteria 5 minutes from now.
organisms (round to nearest whole number)
2. The current population of a small town is 1823 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 3 years from now.
residents (round to nearest whole number)
3. Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days. The current population of the colony is known to be 580 mosquitos; that is, P(0)=580. If P′(0)=72 mosquitos per day, estimate the size of the population in 12 days.
Mosquitos (round to nearest whole number)

Respuesta :

Answer:

a) 28395

b) 3859

c) 980

Step-by-step explanation:

The formula to determine the population is as follows -

[tex]P = P_0 * e^{rt}[/tex]

a) P0 = 6336

r = 3/10

t = 5

Substituting the given values, we get

[tex]P = 6336 * e ^{\frac{3}{10} *5}[/tex]

P = 28395

b) Substituting the given values

[tex]P = 1823 * e^{\frac{3}{12} *3}\\P = 3859[/tex]

c) Substituting the given values

[tex]P = 580 * e^{72*12}\\P = 3859\\P = 580 *1.69\\P = 980[/tex]