The biologist has a second culture to examine. She knows that the population of the culture doubles every 15 minutes. After 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. 2. (a) What was the size of the initial population? (b) Predict the size of the culture at t=3 hours. What was the size of the population at 40 minutes? Explain and justify your answers. Create a graph of the population as a function of time. Find an equation that can be used to predict the size of the population at any time t. (c)
The biologist has a second culture to examine. She knows that the population of the culture doubles every 15 minutes. After 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. 2. (a) What was the size of the initial population? (b) Predict the size of the culture at t=3 hours. What was the size of the population at 40 minutes? Explain and justify your answers. Create a graph of the population as a function of time. Find an equation that can be used to predict the size of the population at any time t. (c)
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...
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Transcribed Image Text:The biologist has a second culture to examine. She knows that the population of the
culture doubles every 15 minutes. After 1 hour and 15 minutes, her assistant found that
80,000 bacteria were present.
2.
(a)
What was the size of the initial population?
Predict the size of the culture at t=3 hours. What was the size of the population at 40
minutes? Explain and justify your answers.
(b)
Create a graph of the population as a function of time. Find an equation that can be used
to predict the size of the population at any time t.
(c)
Examine the rate at which the bacteria culture is growing. How fast
growing after 1 hour? After 1.5 hours? After 2 hours? Use a time interval of h = 0.01
hours to estimate these rates. Interpret these rates in terms of the context of the problem
situation. How do these three rates compare?
(d)
the culture
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