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

Question

Mathematics

Rachel Marks

10 January, 18:18

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

+1

Answers (1)

Know the Answer?

Giovanna Hill · Answer 1

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

(16 - 256) / (5 - 1) = - 60

This means that on average, there was a loss of 60 each round

So, the answer is the first option.