A bacteria culture starts with 320 bacteria and grows at an exponential rate. After 4 hours there will be 1280 bacteria. Give your answer accurate to at least 4 decimal places. (a) Express the population P after t hours as a function of t. P(t)= (b) What will be the population after 8 hours? bacteria (c) How long will it take for the population to reach 1970? hours

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
A bacteria culture starts with 320 bacteria and grows at an exponential rate. After 4 hours there will
be 1280 bacteria. Give your answer accurate to at least 4 decimal places.
(a) Express the population P after t hours as a function of t.
P(t)=
(b) What will be the population after 8 hours?
bacteria
(c) How long will it take for the population to reach 1970?
hours
Transcribed Image Text:A bacteria culture starts with 320 bacteria and grows at an exponential rate. After 4 hours there will be 1280 bacteria. Give your answer accurate to at least 4 decimal places. (a) Express the population P after t hours as a function of t. P(t)= (b) What will be the population after 8 hours? bacteria (c) How long will it take for the population to reach 1970? hours
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning