Math Reflection 3

1.a. With the initial value and yearly growth rate, you can determine the x value several years from now by using the equation y=a(b^x) where a is the initial value, b is the yearly growth factor and x is the given value of x. But, before you write the equation yo must turn the growth rate into a growth factor by adding one to the growth rates decimal value.

b. To turn the growth rate into the growth factor, you add one to the growth rate's decimal value. The growth rate is the percent of growth and the growth factor is what the x value is multiplied each time it goes up.

2.a. If you know the initial value and the growth factor, you simply place the numbers in the equations. Substitute the initial value for a, and the growth factor for b. Then you subsitute the x value for x.

b. To find the growth rate out of the growth factor, you subtract one and turn the decimal into a percent.

3. To find the doubling time, you guess and check until it is just about correct.