What you know about exponential growth as we have described


Problem

The current population of Tanzania is 50.3 million with a population growth rate of 2.14% per year. The average annual agricultural yield in Tanzania is 8,670 kg/ha (where "ha" means hectare, which you can think ofas a metric acre), a yield that is comprised of both grains (eg. maize/corn) and tubers (e.g. cassava root) in a 1:1 ratio. The total amount of cropland farmed in Tanzania is 4,000,000 ha. The average agricultural output has increased at a linear rate of about 1.5% per year for the last five years or so. Ideally, one person should have a caloric intake of at least 2000 kcal per day in order to maintain their life. 1 kg grain supplies 3000 kcal; 1 kg tubers supplies 1000 kcal. Use the equations from our mini-lecture and the linear growth equation from the last module's quantitative assignment, to answer the following questions. You will also have to do some conversions for which you won't find specific equations.

Using what you know about exponential growth as we've described it, what would you predict the population of Tanzania to be 5.5 years ago? Round your answer to one place past the decimal and put your answer in "millions',' so that if your answer is 55,670,000 your answer is 55.7 Million and you would enter 55. 7 as your answer.

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Other Subject: What you know about exponential growth as we have described
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