2.7.263 AP calculu Exam Population growth

Click For Summary

Discussion Overview

The discussion revolves around a problem related to population growth as presented in an AP Calculus exam. Participants are exploring the implications of derivatives in the context of linear functions and their graphical representations.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about the problem, stating they are "clueless."
  • Another participant notes that the derivative of a linear function is a constant, suggesting a foundational concept relevant to the problem.
  • A participant proposes that the linear graph representing population growth could be modeled as P(t) = 200t, indicating a straight line representation.
  • A later reply reiterates the proposed model, expanding it to P(t) = 200t + C, which includes a constant term.

Areas of Agreement / Disagreement

There is no clear consensus among participants, as some express confusion while others attempt to clarify the problem using mathematical reasoning.

karush
Gold Member
MHB
Messages
3,240
Reaction score
5
View attachment 9275

image to avoid typos

Ok I'm clueless,
 

Attachments

  • 267ap.PNG
    267ap.PNG
    8.2 KB · Views: 151
Physics news on Phys.org
note that the derivative of a linear function is a constant ...
 
skeeter said:
note that the derivative of a linear function is a constant ...

ok I think that would leave (A) since the linear graph would be P(t)=200t which is a straight line.
 
Last edited:
karush said:
ok I think that would leave (A) since the linear graph would be P(t)=200t which is a straight line.

$P(t) = 200t + C$
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
Replies
2
Views
2K
Replies
1
Views
9K
Replies
2
Views
1K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 24 ·
Replies
24
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K