MHB 2.7.263 AP calculu Exam Population growth

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The discussion focuses on understanding the derivative of a linear function in the context of population growth for an AP Calculus exam. It emphasizes that the derivative of a linear function is a constant, leading to the conclusion that the population function can be represented as P(t) = 200t + C. Participants agree that the linear graph indicates a straight line, confirming the choice of option (A). The conversation highlights the importance of recognizing the characteristics of linear functions in calculus. Overall, the analysis centers on applying derivative concepts to solve population growth problems.
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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.

$P(t) = 200t + C$