mathematical reflection 3

1. a. If you know the initial value and the growth rate for a population you can find the population years from now. You can do this by making the growth rate into the growth factor by making it a decimal and adding 1. You then find the growth factor to the how many years it has been power. Then you multiply the initial value by the total of the exponent problem.

1. b. The growth factor is the percent of growth and the growth rate is how much the y total is multiplied by each time x goes up. You can find the growth factor from the growth rate by putting the growth rate into decimal form and adding 1 to the decimal.

2. a. If you know the growth factor and the initial value for a population equation you can find the population several years from now. You can do this by finding the growth to the exponent of how many years it has been and multipying the initial value by the total of the exponent problem.

2. b. You can find the yearly growth rate by using the growth factor. You can do this by subtracting 1 from the growth factor and making the number you have left a percent.

3. You can find the doubling of a population p for the number of years n by making the equation p=2^ n and multiply that by the intial value if there is an initial value.