Question

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

Answer 1

A

Explanation:

Answer 2

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

The changing rate is
`(8-128)/(4-2)= (-120)/(2)=-60`

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