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The image provides a question with similar data points as the previous one, involving smartphone sales for the years 2009, 2012, and 2015. The task is to determine the values of \( M \), \( A \), and \( k \) using a logistic model:

\[
S(t) = \frac{M}{1 + A e^{-kt}}
\]

with the following data points:
- 2009: \( S(0) = 1674 \) million
- 2012: \( S(3) = 6351 \) million
- 2015: \( S(6) = 14188 \) million

The prompt asks for the values of \( M \) and \( A \) to be rounded to three decimal places and \( M \) to one decimal place.

Based on your previous input, where \( M \approx 3756.4 \), \( A \approx 11.1 \), and \( k \approx 0.

In 2009, 2012, and 2015, the number of smartphones sold in the world was 1674, 6351, and 14188, respectively. Let t represent time in years since 2009, and let S(t) represent the number of smartphones sold in millions. Determine M, A, and k in a logistic model, S(t) = M / (1 + A e^(-kt)), that fits the given data points.

Learn how to apply a logistic growth model to real-world data on smartphone sales between 2009 and 2015. Explore the use of exponential functions to model the number of smartphones sold in millions and find the parameters M, A, and k using specific data points. Suitable for advanced students.

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