Question

A music competition on television had five elimination rounds. After each elimination, only half of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition:

x
1
2
3
4
5
f(x)
64
32
16
8
4


Compute the average rate of change of f(x) from x = 3 to x = 5 and describe what it represents






A. −6 contestants per round, and it represents the number of contestants who will reach the final round
B. −28 contestants per round, and it represents the number of contestants who will reach the final round
C. −6 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round
D. −28 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round

Answer 1

Its c, average rate, im sure of it

Answer 2

The correct option is C.

Explanation:

The given table represent the number of contestants in each round of the competition.

The average rate of change of f(x) from x = 3 to x = 5.

`m=(f(x_2)-f(x_1))/(x_2-x_1)`

`m=(f(5)-f(3))/(5-3)`

`m=(4-16)/(2)`

`m=(-12)/(2)`

`m=-6`

The average rate of change of f(x) from x = 3 to x = 5 is -6, it represents the average rate at which the number of contestants decreased from the third round to the fifth round.

Therefore option C is correct.