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A dance competition on television had five elimination rounds. After each elimination, only one-fourth 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) 512 128 32 8 2 Compute the average rate of change of f(x) from x = 2 to x = 4 and describe what it represents.

−60 contestants per round, and it represents the average rate at which the number of contestants changed from the second round to the fourth round

−120 contestants per round, and it represents the average rate at which the number of contestants changed from the second round to the fourth round

−60 contestants per round, and it represents the number of contestants who will reach the final round

−120 contestants per round, and it represents the number of contestants who will reach the final round

Respuesta :

merlynthewhizz
When x =2, f(x) = 128
When x = 4, f(x) = 8

The changing rate is [tex] \frac{8-128}{4-2}= \frac{-120}{2}=-60 [/tex]

This changing rate represents the decrease of the number of contestants as the competition approaches the final.

Correct option is the first option

−60 contestants per round and it represents the average rate at which the number of contestants changed from the second round to the fourth round 

Answer:

A

Step-by-step explanation:

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