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How Does Exponential Growth Grow

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Exponential Growth/Decay and how to use it
Exponential growth is growth whose rate becomes ever more rapid in proportion to the growing total number or size. Exponential growth has three parts the initial value, the rate of change, and the number of years(y=a(1+or 1-r)t) When Y is what you get when you plug in your numbers, a is your initial value, and r is your rate of change and if it is a change where the Y value gets smaller then it is exponential decay and that is minus one t o the rate of change but if it is exponential growth then you add one to the rate of change, then there is t which is your number of years which should be an exponent to r.
My word problem was, The population of Luck, Wisconsin in 2015 was 527 and is growing by an annual rate of 1.90%. The equation was Y=527(1.19) raised to the power of t. You start by making a table of your t values and your y values and you choose what ever numbers you want in order for your t values and whatever that number is you plug it into your equation to find your y value then you put that into the table. My table looked like this.
T
-3
-2
-1
0
1
2
3
4
5
6
7
Y
313 …show more content…

Exponential growth and decay are modeled in many real-world processes. Populations of people, and a growing population of anything, can be modeled as a function showing exponential growth. The growth of a savings account collecting compound interest is another example of an exponential growth function. But in conclusion Exponential growth is a mathematical change that increases without limit based on an exponential function. The change can be in the positive or negative direction. The important concept is that the rate of change continues to

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