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7.2 Exponential Patterns

7.2 Exponential Patterns
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  • Math Help

    Here are some general observations about the graph in Example 5.

    • The graph is increasing from left to right.
    • The point of maximum growth occurs at one-half of the maximum sustainable population.
    • Before reaching the point of maximum growth, the growth rate is increasing.
    • After reaching the point of maximum growth, the growth rate is decreasing.

  • Consumer Suggestion

    Did you know that Thomas Malthus is responsible for popularizing the economic theory of rent?

    If you plan to rent an apartment in the future, you might want to check out apartmentratings.com before making your decision. An apartment is not always as nice as it seems, and this site will help you get a better idea of what it is really like to live in the apartment you are considering renting.

  • Checkpoint Solution

    Sample answer:

    I think it's possible that Malthus' prediction will come true--that population will grow exponentially until a permanent poor class is created due to lack of resources--but I don't think it's inevitable. Many developed countries have declining fertility rates, and the percentage of people living in poverty has decreased recently throughout the world. Many predict the world population will level off around the year 2050. It's also possible that Malthus underestimated the ability of science to create new means of subsistence. Great advancements in agricultural efficiency have been made since his time, and scientists are currently working on lab-grown meat. I also think that through improved awareness of the population problem and better education and access to birth control, even areas where population growth is the highest and poverty is the worst, like Sub-Saharan Africa, could improve before a Malthusian catastrophe happens.

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     /_   _//  |  ___||  | |/ //  /_   _//  /  ___|| 
       | ||    | ||__    | ' //    -| ||-  | // __   
      _| ||    | ||__    | . \\    _| ||_  | \\_\ || 
     /__//     |_____||  |_|\_\\  /_____//  \____//  
     `--`      `-----`   `-` --`  `-----`    `---`   
                                                     
    
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    Guest   4 months ago |
    Always be sure to have the right tools for whatever your doing, otherwise the task may prove harder to solve.
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