Math Reflection 3

1. A) If you know the initial value and the growth rate of the population you can make an equation using the format y=a(b)^n. Say the initial value was 1000 and the growth rate was 4%, you first need to make the growth factor. You do this by making the percent into a decimal, (.04), then you add 1, (1.04), your equation would be y=1000(1.04)^n. to figure out the population in a certain amount of years you just put the number in as x and solve.

1. B) The growth rate is related to the growth factor because the growth factor is the rate in decimal form plus 1.

2. A) You do the same as above. You take the initial value and growth factor and put them into an equation. Then you put the number of years s x then solve.

2. B) You can determine the growth rate by first subtracting 1. Then you multiply the decimal by 100 to get the percent.

3. To find the doubling point of the population you take the initial value and double it. So now the equation is y=2p(b)^n. From there you take an educated guess to see it when you plug x in (number of years) it doubles. If it doesn't you go up or down from there to see when the doubling point is.