Atalent 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:
x 1 2 3 4 5
f(x) 243 81 27 9 3
compute the average rate of change of f(x) from x = 1 to x = 4, and describe what it represents.
a −78 contestants per round, and it represents the number of contestants who will reach the final round
b−234 contestants per round, and it represents the number of contestants who will reach the final round
c−234 contestants per round, and it represents the average rate at which the number of contestants changed from the first round to the fourth round
d −78 contestants per round, and it represents the average rate at which the number of contestants changed from the first round to the fourth round