1. a. If your know the initial value for a population and the yearly growth rate, you can determine the population several years from now. First ou find the growth factor, because the growth factor and the initial value are the two things you need to form an equation. To get the growth factor, you put the growth rate into decimal form, and add one. Then you form an equation using the y=a(b^x) form. You plug in the initial value as A and the growth factor as B. Then you can plug the number of years into the equation to find your answer.
b. The growth rate is the percentage of growth, while the growth factor is the amount of increase. You can find the growth factor from the growth rate by putting the percent into decimal form and adding 1.
2. a. If you know the initial value and the yearly growth factor you can determine the population in several years. To do this, you need to form an equation. You can plug th numbers you have into the form y=a(b^x). A is the initial value, and B is the growth factor. Solve the equation, and you have your answer.
b. You can determine the growth rate by subtracting 1 from the growth factor and turning that number into a percent.
3. You can determine the doubling time by making a table and observing when a number doubles.
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