Use an appropriate diagram, with exponential growth of population and linear growth of food, to demonstrate the Malthusian theory in each of the following scenarios. In particular, assume a Malthusian world, and explain the effect on per-capita wealth over time. In your diagram, ‘Time’ should be on the horizontal axis, and ‘Quantity’ should be on the vertical axis. Explain your reasoning in each case.  (a) Solid public hygiene policies are adopted, and people’s cultural values shift towards more cleanliness. (b) A genocide destroys 25 percent of the population. (c) A medicine is developed which sterilizes 90 percent of the population. (d) The Industrial Revolution occurs, causing food and resource growth to become exponential, outpacing population growth.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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Use an appropriate diagram, with exponential growth of population and linear growth of food, to demonstrate the Malthusian theory in each of the following scenarios. In particular, assume a Malthusian world, and explain the effect on per-capita wealth over time. In your diagram, ‘Time’ should be on the horizontal axis, and ‘Quantity’ should be on the vertical axis. Explain your reasoning in each case. 

(a) Solid public hygiene policies are adopted, and people’s cultural values shift towards more cleanliness.

(b) A genocide destroys 25 percent of the population.

(c) A medicine is developed which sterilizes 90 percent of the population.

(d) The Industrial Revolution occurs, causing food and resource growth to become exponential, outpacing population growth.

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