HELP!! HAVE TO FINISH LESSON NOW!!

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.
A)55;there were 55 fewer wrestlers between rounds 1 and 4
B)3;there were 3 rounds between rounds 1 and 4
C)-55/3;on average,there were 55 fewer players for every 3 rounds
D)-3/55;on average,there were 3 fewer players for every 55 rounds

Question

HELP!! HAVE TO FINISH LESSON NOW!!

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.
A)55;there were 55 fewer wrestlers between rounds 1 and 4
B)3;there were 3 rounds between rounds 1 and 4
C)-55/3;on average,there were 55 fewer players for every 3 rounds
D)-3/55;on average,there were 3 fewer players for every 55 rounds

anonymous · Answer

$$aroc=\frac{ f(b)-f(a) }{ b-a }$$
you want the average rate of change from 1 to 4, so let a = 1 and b = 4
$$aroc=\frac{ f(4)-f(1) }{ 4-1 }$$