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ioda
3 years ago
9

A population of bacteria doubles every 15 hours. initially, the population of bacteria is 40. What is the population of bacteria

after 40 hours? Enter your answer, rounded to the nearest whole number, in the box.
Mathematics
1 answer:
mario62 [17]3 years ago
7 0

The population of bacteria after 40 hours is 254

Step-by-step explanation:

Initial population of bacteria = 40

Growth rate: Doubles every 15 hours

The population function is given as:

P_t = P_0 * r^t

Here

P0 is the initial population

r is the growth rate

and t is the time in hours

The growth rate will be: 2^{\frac{t}{15}}

Putting the values in the function

P_t = 40 * 2^{\frac{40}{15}}\\P_t = 40 * 2^{2.67}\\P_t = 40 * 6.34960...\\P_t = 253.98416...

Rounding off to nearest whole number we get

P_t ≅254

Keywords: Population growth,, bacteria

Learn more about population growth at:

  • brainly.com/question/96882
  • brainly.com/question/96535

#LearnwithBrainly

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