To find the hypotenuse of the triangle
you use the length of the legs
Plug it into the Pythagorean Theorem
so


is one of the legs
and

is the other leg
then

is the hypothenuse
I just graphed the table next to the graph of g and compared the two.
The y-intercept of f is (0,8) and the y-intercept of g is (0, -2). So f is GREATER THAN the y-intercept of g.
Now to do the average rate of change, I see from the interval [-6,-3] that f is decreasing and for g it is increasing. Thus f is LESS THAN the average rate of change of g.
96 people. With every round, the number of people doubles. 3 turns into 6, which turns into 12, which turns into 24, which turns into 48, which turns into 96. The process is repeated only 5 times, but keep in mind when 3 people are chosen, it ends the first round. Hope this helps!!!
-Anonymous