Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. 6000- 5000- 4000– 3000- 2000- 1000- a. At approximately what time is the instantaneous growth rate the greatest, for 0sts36? Estimate the growth rate at this time. y=p(t) b. At approximately what time in the interval 0sts36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. 0- 16 24 32 t c. What is the average growth rate over the interval 0sts 36? Time (hours) a. The instantaneous rate of growth is the greatest at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) b. The instantaneous rate of growth is the least at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) c. The average rate of growth over the interval 0 sts36 is approximately (Round to the nearest whole number as needed.) Number of bacteria

Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. 6000- 5000- 4000– 3000- 2000- 1000- a. At approximately what time is the instantaneous growth rate the greatest, for 0sts36? Estimate the growth rate at this time. y=p(t) b. At approximately what time in the interval 0sts36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. 0- 16 24 32 t c. What is the average growth rate over the interval 0sts 36? Time (hours) a. The instantaneous rate of growth is the greatest at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) b. The instantaneous rate of growth is the least at approximately t= (Round to the nearest whole number as needed. Use a comma to separate answers as needed.) The growth rate at this time(s) is approximately (Round to the nearest whole number as needed.) c. The average rate of growth over the interval 0 sts36 is approximately (Round to the nearest whole number as needed.) Number of bacteria

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 43E

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