Advanced Functions,Exponential Functions

Click For Summary

Homework Help Overview

The discussion revolves around a problem involving exponential functions, specifically related to the growth of a bacteria population that doubles in a specified time frame. Participants are exploring the implications of this growth rate to determine when the population was half of its current size.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to understand the relationship between doubling and halving populations, with some questioning the need for formulas or calculations. Others are exploring the implications of the population size at different times.

Discussion Status

The discussion is active, with participants clarifying the original question and exploring different interpretations of the population growth scenario. Some guidance has been offered regarding the relationship between current and past population sizes, but no consensus has been reached on the approach to the problem.

Contextual Notes

There appears to be some confusion regarding the interpretation of the problem, particularly in relation to the time frames involved in population growth and decay. Participants are also navigating the constraints of the problem without relying heavily on mathematical formulas.

ohhnana
Messages
25
Reaction score
0

Homework Statement


If a bacteria population doubles in 7 days, when was it half of its present population?


Homework Equations


A=A0(1+i)^n



The Attempt at a Solution


i= 100%=1
 
Physics news on Phys.org
ohhnana said:

Homework Statement


If a bacteria population doubles in 7 days, when was it half of its present population?


Homework Equations


A=A0(1+i)^n



The Attempt at a Solution


i= 100%=1
If the bacteria population now is 500,000, when was the population 250,000?
 
what ?
 
What part of my question did you not understand? This problem is not a complicated one, and you don't need a calculator or any formulas to answer the question.
 
Have you ever seen [tex]P = e^{rt}[/tex] before?

Usually, I would recommend exponential growth/decay for bacteria situations.

Furthermore,

Mark44 said:
...This problem is not a complicated one, and you don't need a calculator or any formulas to answer the question.

"Doubling" and "halving" are very closely related!
 
yea i seen that formula before , so your saying it's impossible to complete the question?
 
No, I don't think he is. Can you answer my question: If the bacteria population now is 500,000, when was the population 250,000?
 
in your question would it be in 7 days and if so wouldn't it be in 3.5 days
 
No, you misunderstood. If the bacteria population was 500,000 today, when in the past was the population 250,000?
 
  • #10
Let's put it a different way- if the population is 250000 today,when will it be 500000? To answer Mark44's question, work backwards from that.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 33 ·
2
Replies
33
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 23 ·
Replies
23
Views
4K