3. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to quadruple every 3.4 hours. a. VI „ Complete the table below. Make sure you justify your answer by showing all the steps. t(in hours) n(number of bacteria) 3.4 6.8 10.2 Use the result in part (a), find an exponential model n(t) for the number of the bacteria in the culture after t hours. Make sure you justify your answer by showing all the steps. b. c. . e: After how many hours will the bacteria count reach 100,000? Give exact answer. Make sure you justify your answer by showing all the steps.

3. A certain culture of the bacterium Streptococcus A initially has 12 bacteria and is observed to quadruple every 3.4 hours. a. VI „ Complete the table below. Make sure you justify your answer by showing all the steps. t(in hours) n(number of bacteria) 3.4 6.8 10.2 Use the result in part (a), find an exponential model n(t) for the number of the bacteria in the culture after t hours. Make sure you justify your answer by showing all the steps. b. c. . e: After how many hours will the bacteria count reach 100,000? Give exact answer. Make sure you justify your answer by showing all the steps.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...

See similar textbooks

Similar questions

Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?