2.7.263 AP calculu Exam Population growth

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SUMMARY

The discussion focuses on the derivative of a linear function in the context of a population growth problem related to the AP Calculus Exam. The key equation presented is P(t) = 200t + C, indicating that the population grows linearly over time at a constant rate of 200 individuals per time unit. The conclusion drawn is that the derivative of this function is a constant, reinforcing the concept that linear functions have a constant rate of change. The participants agree that option (A) is the correct answer based on this analysis.

PREREQUISITES
  • Understanding of linear functions and their properties
  • Knowledge of derivatives in calculus
  • Familiarity with population growth models
  • Basic skills in interpreting mathematical equations
NEXT STEPS
  • Study the concept of derivatives in calculus, focusing on linear functions
  • Explore population growth models and their mathematical representations
  • Learn about the applications of derivatives in real-world scenarios
  • Review AP Calculus exam preparation materials for similar problems
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Students preparing for the AP Calculus Exam, educators teaching calculus concepts, and anyone interested in understanding linear growth models in mathematics.

karush
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Ok I'm clueless,
 

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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.

$P(t) = 200t + C$
 

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