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AP Calculus BC/Unit 7: Differential Equations
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Exponential Growth Model Initial Condition

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In the exponential growth model y=y0ekty = y_0e^{kt}, what does the parameter y0y_0 represent?

A

y0y_0 is the initial population size, scaling the entire growth curve without changing its exponential shape

B

y0y_0 is the growth rate constant, determining how quickly the population increases over time

C

y0y_0 represents the carrying capacity, limiting the maximum population size as tt increases

D

y0y_0 represents the time at which the population reaches half its maximum size

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