Class Summary - 11/20/2016

My apologies for this super-late posting. Since you have only today to do the homework, I have made it much shorter than usual.

Instructors:	Mr. Rameel Rizvi
Attendance:	Ayyan, Aiden, Omar, Areej, AbdulRafay
Homework:	Read: Chapter 7.7 (this is a review of all main concepts from the chapter); Problems to solve:  7.39, 7.46, 7.58, 7.66
Challenge Problem:	Recall the definitions of the arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM) we covered in class. (If you don't remember these and/or didn't write them down, Google is your friend.) Let n be the number of distinct variables in question (i.e. for n = 3 we have x1, x2, and x3). Here's the problem, if you wish to attempt it: Prove that when n = 2, AM >= HM >= GM (so for all x1 and x2, their arithmetic mean is less than or equal to their harmonic mean which is less than or equal to their geometric mean).
Class Activity:	Finished Chapter 7.
Concepts:	Covered ratios, rates, and proportions; for more in-depth review consult Chapter 7.7.
Student Difficulties:	I recall fairly good understanding of ratio/rate problems from class. Remember to read every word in the question carefully!
Notes	Please hand-in your homework solutions, written in a consistent notebook, in the next class.