Question

A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of the tournament:

Round (x) 1 2 3 4
Wrestlers f(x) 64 32 18 9


Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.
55; there were 55 fewer wrestlers between rounds 1 and 4
3; there were 3 rounds between rounds 1 and 4
negative fifty five over three; on average, there were 55 fewer players for every 3 rounds
negative three over fifty five; on average, there were 3 fewer players for every 55 rounds

Answer 1

The answer would make out to be -55/3 ; on average, there were 55 fewer players for every 3 rounds

Explanation:

I took the test.

Answer 2

Net change of wrestlers
Average rate of change = ---------------------------------
number of rounds


9 - 64 wrestlers - 55 wrestlers
Average rate of change = --------------------- = ------------------
4 rounds 4 rounds



Answer: there were 55 fewer wrestlers between rounds 1 and 4.