\noindent Produced by Thomas J - Sustainability Math
World PopulationProduced by Thomas J. Updated March 20230482600003712845Figure 1: World population in billions with fitted curves. 0Figure 1: World population in billions with fitted curves. Notes to Instructors (delete this before giving to students): The main goal is to exhibit the growth differences between the exponential and quadratic functions, and so you should use both functions here. Answer the following questions about the fitted curves, exponential and quadratic, to the world population data in figure 1: WPe(x)=2.58476510928187exp(0.0166095879174425*x) and WPqx=2.416215157875 + 0.0599605352315477x +0.00025293492422619x^2Find both an exponential model and quadratic model with output population and input year (or years after 1950). [Either delete this question or the figures, in which case provide the data.]For each model, what is the predicted population size in 2025 and 2050?What is the current (2020 – last year of data) rate of change for each model?For each model assume that population continues to grow at the current rate of change and predict the population size for 2025 and 2050.Summarize your information for each model in a few sentences. What is difference between the predictions of your two models and what does this say about the differences between and exponential model and a quadratic model? We tend to think that populations always grow exponential, do you believe that the exponential model is the better fit or not? The U.N. is predicting (under Probabilistic Projections) a world population of 8.5 billion in 2030 and 9.75 billion in 2050. How do your projections compare to the predictions given by the U.N. and what does this say about the type of model the U.N. is using? ................
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