Function Modeling
We use functions to model certain facts that occur in real-life events.
It's given a table where the number of possible outcomes when flipping a coin is a function of the number of coins flipped.
We can observe each file of the number of outcomes doubles the previous value, that is:
32 = 16*2
16 = 8*2
8 = 4*2
This suggests the relationship between n (the number of coins) and O (the number of outcomes) is exponential, i.e., the variable is an exponent, in fact, a power of 2:
[tex]O(n)=2^n[/tex]
For n = 7 coins:
[tex]\begin{gathered} O(7)=2^7 \\ O(7)=128 \end{gathered}[/tex]
There are 128 possible outcomes for 7 coins
