Suppose the world population today is 7 billion, and sup- pose this population grows at a...
Suppose the world population today is 7 billion, and sup- pose this population grows at a constant rate of 3% per year from now on. (This rate is almost certainly much faster than the future population growth rate; the high rate used here is useful for pedagogy. If you like, you can use a spreadsheet program to help you with this question.)
(a) What would the population equal 100 years from now?
(b) Compute the level of the population for t=0, t=1, t=2, t=10,
t = 25, and t = 50.
(c) Make a graph of population versus time (on a standard scale).
(d) Now make the same graph on a ratio scale.
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Ecology is the subject
Open Problem #3 Spreadsheet. In 1981, the world human population was 4.5 billion. The birth rate was 28 per thousand (0.028 per capita) and the death rate, 11 per thousand (-0.011) Thus the r value was 0.017. Using these figures, project the population for 30 years to 2011. What is the expected human population based on the above figures (Just use 4.5 for No)? Compare this value with 2011current population of 69...
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3. The Rule of 72 is a very useful approximation for understanding exponential growth. The Rule states that (72 / the interest rate) = doubling time. For example, if the interest rate is 10% and you invest $10 today, in 7.2 years you will have $20. (72/10 = 7.2, the doubling time) My sister, a financial planner, would suggest that you save today for peace of mind. So today, let's put $1,000 in a mutual fund that rather consistently yields...
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