During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. at 1010: 00 am there were 4 comma 0004,000 bacteria present in the culture. at noon, the number of bacteria grew to 4 comma 6004,600. how many bacteria will there be at midnight?

68600 will there be at midnight ( approx )

Step-by-step explanation:

Let P shows the population of the bacteria,

Since, the number of bacteria in a culture grew at a rate proportional to its size,

Where, k is the constant of proportionality,

Now, let the population of bacteria is estimated from 10:00 AM,

So, at t = 0, P = 4,000 ( given )

Now, at noon there are 4,600 bacterias,

That is, at t = 2, P = 4600

Hence, the equation that represents the population of bacteria after t hours,

Therefore, the population of the bacteria at midnight ( after 14 hours ),