A culture of bacteria has an initial population of 33,000 bacteria in doubles every 10 hours. What is the population of bacteria in the culture after 19 hours to the nearest whole number?

the population of bacteria in the culture after 19 hours is 332,619

Explanation:

The computation of the population of bacteria in the culture after 19 hours is shown below:

Initial population , P0 = 33,000

Doubling time , d = 10 hours

Time , t = 10 hours.

Now the Population of bacteria after 19 hours is

Pt = 33,000 × (2)^(10 ÷3)

= 33,000 × 10.0793683992

= 332619.157172247

= 332,619

Hence, the population of bacteria in the culture after 19 hours is 332,619

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