Average rate of change of the function 
Solution:
Given function:
from x = 1 to x = 5
Substitute x = 1 and x = 5 in f(x).


Let us find the average rate of change of the function.
Average rate of change

Here a = 1 and b = 5.

Substitute f(5) and f(1).



Average rate of change of the function 
12 eggs for $1.12
3 eggs for $?
As you can see, to get from 12 eggs to 3 eggs, you divide by 4, so do the same with $1.12 to get $0.28
The cost of 3 eggs is $0.28
The final number of outcomes would end up being 10 possible outcomes because you would do five and multiply it by two. And there would be a possibility of landing on any of ten outcomes. Hope I helped reassure you of your answer :)
Answer:
The Preamble states the six purposes of government to form a more perfect union; establish jusice; insure domestic tranquility;provide for the common defense; promote the general wefare; secure the blessings of liberty now and the future