EXAMPLE 3 = Predicting the Size of a Population The initial bacterium count in a culture is 500. A biologist later makes a sample count of bacteria in the culture and finds that the relative rate of growth is 40% per hour. (a) Find a function that models the number of bacteria after t hours. (b) What is the estimated count after 10 hours? (c) After how many hours will the bacteria count reach 80,000? (d) Sketch a graph of the function n(t).

EXAMPLE 3 = Predicting the Size of a Population The initial bacterium count in a culture is 500. A biologist later makes a sample count of bacteria in the culture and finds that the relative rate of growth is 40% per hour. (a) Find a function that models the number of bacteria after t hours. (b) What is the estimated count after 10 hours? (c) After how many hours will the bacteria count reach 80,000? (d) Sketch a graph of the function n(t).

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 101E: Radioactive Decay The half-life of radium-226 is 1590 years. (a)If a sample has a mass of 150 mg,...

See similar textbooks

Similar questions

Exponential Growth Is the graph of exponential growth versus time increasing or decreasing?
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Exponential Decay Is the graph of exponential decay versus time increasing or decreasing?
Exponential Growth What is the concavity of a graph showing exponential growth?
Radioactive Decay The half-life of radium-226 is 1590 years. a If a sample has a mass of 150 mg, find a function that models the mass that remains after t years. b Find the mass that will remain after 1000 years. c After how many years will only 50 mg remain?
Radioactive Decay The half-life of radium-226 is 1590 years. (a)If a sample has a mass of 150 mg, find a function that models the mass that remains after tyears. (b)Find the mass that will remain after 1000 years. (c)After how many years will only 50 mg remain?
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.