We may solve for m using the second data point (2017, 224.3 million) by substituting the values: 224.3 = m * 2017 + b
We may find the values of m and b by concurrently solving these two equations. We may find the explicit formula for the number of mobile phone users by reentering these data into the linear growth model equation.
According to the equation for the linear growth model, the number of mobile phone users is increasing continuously. The number of mobile phone users (N) rises by the same amount (m) for every unit increase in time (t). To put it another way, the growth is continuous and steady throughout time.
N = mt + b is changed to N = 2021 in order to anticipate the number of mobile phone users in 2021 using the linear growth model. We can get the estimated number of mobile phone users in 2021 by utilizing the values of m and b that were discovered by resolving the equations above.
Exponential Growth Model, Part II
We may once more utilize the two provided data points (2000, 109.5 million), and (2017, 224.3 million), to determine the explicit formula for the exponential growth model.
N = a * e(kt), where N is the total number of mobile phone users, t is the year, and a and k are unknown constants, is a common representation of the exponential growth model.
We may swap the values and find a using the first data point (2000, 109.5 million) as a starting point: 109.5 = a * e^(k * 2000)
Using the second data point (2017, 224.3 million), we can substitute the values and solve for k: 224.3 = a * e^(k * 2017)
We may find the values of a and k by concurrently solving these two equations. We may find the explicit formula for the number of mobile phone users by reinserting these data into the exponential growth model equation.
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