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A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.

Sagot :

The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.

How many hours would it for the bacteria count to grow from 75 to 120?

The first step is to determine the rate of increase of the bacteria. The formula that can be used is:

g = (FV / PV)^(1/n) - 1

Where:

  • FV = 75
  • PV = 40
  • n = 3 hours

(75/40)^(1/3) - 1 = 23.3%

The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:

Number of hours =  (IN FV / PV) / r

(IN 120/75) / 0.233 = 2 hours

To learn more about time, please check: https://brainly.com/question/21841217

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