Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.

Respuesta :

Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

hence, the same is relevant

Answer:

The answer is "10159"

Step-by-step explanation:

Every 3 hours the population doubles, with an initial population of 100.

[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]

[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]

when t=20

[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]

             [tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]

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