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50 POINTS:A chess competition has eliminations each round. The table below shows the number of players in each of the first 5 rounds of the tournament: Round (x) 1 2 3 4 5 Players f(x) 256 128 64 32 16 Compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate. −60; on average, there was a loss of 60 each round −240; on average, there was a loss of 240 each round 4; there were 4 rounds between rounds 1 and 5 240; there were 240 fewer players between rounds 1 and 5

Answer :

Round    (x) 1      2     3    4   5 
Players f(x) 256  128  64  32  16

16-256 / 5 - 1 = -240/4 = -60

A.) −60; on average, there was a loss of 60 each round. 

On average, there was a loss of 60 in each round.

Given that,

A chess competition has eliminations each round.

The table below shows the number of players in each of the first 5 rounds of the tournament:

Round (x)  1 2 3 4 5

Players f(x)  256 128 64 32 16

According to the question,

The average rate of change of f(x) from x =1 to x = 5 is given by,

[tex]\rm= \dfrac{f(5)-f(1)}{5-1}[/tex]

Where f(5) =16 and f(1)= 256

Substitute all the values in the formula;

[tex]\rm= \dfrac{f(5)-f(1)}{5-1}\\\\= \dfrac{16-256}{4}\\\\= \dfrac{-240}{4}\\\\= -60[/tex]

Hence, On average, there was a loss of 60 in each round.

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https://brainly.com/question/4002639

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