Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
In one hour, the population has increased from 100 to 570.
The population becomes
% of 100.
Hence, according to our observation, we can tell that the population of the bacteria grows up to 570% of previous hour.
(a)
The number of bacteria after t hours can be represented as
.
(b)
After 4 hours, the <u>number of bacteria will be</u>
.
(c)
The derivative of p(t) is
.
At t = 4, the value will be 183723.6268 ≅ 183724.
(d)
<u>The population will be 10,000 that is p(t) = 10000</u>.
.