Question
The revenues for company X from 2000 through 2019 are shown in the table below. t=0 corresponds to the year 2000. Year Revenue 0 2762
The revenues for company X from 2000 through 2019 are shown in the table below.
t=0 corresponds to the year 2000. Year Revenue 0 2762 1 3122 2 3933 3 5264 4 6921 5 8490 6 10711 7 14835 8 19166 9 24509 10 34204 11 48077 12 61093 13 74452 14 88988 15 107006 16 135987 17 177866 18 232887 19 280522 Part a) Determine which model is most suitable for this data table (linear, power, or exponential). Explain. Part b) Using the model you chose in part a, estimate the revenues for Company X in the years 2020, 2025 Part c) Using an approximation of derivative, estimate the revenues for Company X in the years 2020, 2025 Part d) Based on your answers from part b and c, which model is most accurate for long term analysis of the revenues for Company X. Explain I've plotted the points on Excel and did a linear regression. I chose exponential for part a and got the equation f(x) = 2548.8 * e^(0.2523 * t) I've also done part b because that's just inputting in t = 20 and t = 25, but how do I go about doing part c? And what's the reasoning behind the answer of part d?
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