Summary:
Whats up students, I’m professor Jon and I’m going to teach
you all about exponentials growth. Growth is the accumulation of a given unit
so when we consider exponential growth: it takes on a new meaning. Exponential
growth whose rate becomes larger in proportion to the growing total number/
unit/ or size. An example of exponential
growth in the real world is population growth. If your parents were the first
parents of this generation and they
had you and another sibling, and then you and your other sibling both had two
more children, this would be an example of exponential growth because the
number of children is increasing in multiples, not linearly.
How to learn exponential growth:
Take a given number. Lets use 2. You can increase our friend
number 2 by adding exponents to the number. If we add an exponent of 3 to our
good friend 2 it will look like this : 2^3. All this means is you take our friend two and multiply
it by itself three times giving you an answer : 2 x 2 x 2 = 8 so 2^3 = 8.
You can tell if a series of numbers or a graph is
exponential if it shows the same quality as above. For example, if you were
graphing a series of number that looked like this
2
|
8
|
8
|
512
|
512
|
13,369,344
|
You would be able to tell that the numbers are growing
exponentially three times for every new product made because the numbers are
not increasing the same amount every time, the rate of increase is growing
jon,
ReplyDeletegood topic, however, i am a little unclear on your opening example. the rest of the lesson is good, though, and i like that you tried to relate the concept to the real world.
professor little