Saturday, March 27, 2010

Math Reflections 3

1a. You can determine the population several years from now by changing the growth rate to a growth factor by dividing by 100 and adding 1. Then you write an exponential equation using the initial population and the growth factor and then substitute the number of years for x.

b. A growth rate is related to the growth factor of a population because they both represent the same thing, except a growth rate is in percent form and the growth factor is in decimal form.

2a. You can determine the population several years from now by writing an exponential equation in y=a(b)^x form where y=the population, a=the initial population, b=the growth factor, and x=the number of years. Then, you solve the equation by sunstituting the number of years for x.

b. You can determine the yearly growth rate by subtracting 1 from the growth factor and changing it to a percent.

3. You can determine the doubling time for the population by substituting twice the initial value for y and solving the equation. You could also guess and check until you find the right number of years.

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