Octagon - 135 degrees
Decagon - 144 degrees
135 / 144 * 100% = 93.75%
Therefore it is 6.25% less
source 1728.com/polygon.htm
There are couple ways to go about this. If the polynomial is odd the graph with be symmetric to the origin, and if the polynomial even the graph with be symmetric to the y-axis. An odd degree polynomial end points with go in opposite directions, even degree polynomial end points will go in the same direction. A positive even degree poly will open up(smile), a negative even degree poly will open down (frowny face). I can go on if needed, I hope this helps :)
For this case we propose a system of equations:
x: Represents the amount of small popcorn tubs
y: Represents the amount of large popcorn tubs
According to the data we have to:
(Spending all the money in your wallet)
(Buying 7 popcorn tubs)
From the second equation we have:

Substituting in the first equation:

Thus, Katie can buy 3 large tubs of popcorn.
So:

In addition, you can buy 4 small tubs of popcorn.
Answer:
3 large popcorn tubs.
4 small popcorn tubs.