Question

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.

Answer 1

The answer is "10159"

Explanation:

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

`\to P(t) = 100 * 2^{(t)/(3)}`

`P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\`

when t=20

`\to p(20)= 100 * 2^{(20)/(3)} \\`

`= 100 * 101.593667\\\\ =10159.3667`

Answer 2

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

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