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Thursday, December 10, 2015

Blog 4

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

1 comment:

  1. jon,

    good 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

    ReplyDelete