A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition.

x12345

f (x) 243812793

Compute the average rate of change of f (x) from x = 1 to x = 4 and describe what it represents.

Question

Kailyn Page

Mathematics

28 March, 20:04

A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition.

x12345

f (x) 243812793

Compute the average rate of change of f (x) from x = 1 to x = 4 and describe what it represents.

+2

Answers (1)

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Maximillian · Answer 1

For the answer to the question above,

Given the number of the contestants in each round:

X 1 2 3 4 5

F (x) 243 81 27 9 3

The rate of change can be calculated using y2-y1/x2-x1 formula. From rounds 1 to 4 the rate of change are

-162, - 54, - 18. And the average of it is - 78 and it represents the average rate at which the number of contestants changed from the first round to the fourth round.