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A volleyball playoff competition has eliminations each round. The table below shows the number of teams in each round of the tournament:
Round (x) 1 2 3 4
Teams f(x) 16 8 4 2
Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.
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negative three over fourteen; on average, there were 3 fewer teams every 14 rounds
negative fourteen over three; on average, there were 14 fewer teams every 3 rounds
3; there were 3 rounds between rounds 1 and 4
14; there were 14 fewer team between rounds 1 and 4,
average rate of change from x = 1 to x = 4
average rate of change = [f(4)-f(1)]/(4-1)
first step: find f(4) (what is the value of the function when x = 4?)