well give medals but please explain and help ! PLZZ help
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

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- anonymous

@mertsj can you please help

- anonymous

@phi by any chance can you please help I really wanna understand it and not just get the answer

- phi

they ask about average rate of change
that means find the change in y divided by the change in x
(which by the way, is also the slope between 2 points)

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## More answers

- phi

average change from x = 1 to x = 5
write the (x,y) pairs for when x=1 (y i.e. f(x) is 256)
and when x=5 (and y is 16, according to the table)
your two points are (1,256) and (5,16)
find the "slope" between those two points.

- anonymous

Okay and i would use average rate of change to find it @phi

- phi

actually, I think of it the other way round: find the slope and that is the average rate of change.
finding the slope is always
change in y divided by change in x
can you do that ?

- anonymous

okay so it would be 16/5 and 256/1 ?

- phi

from (1,256) and (5,16)
pick out the y values: 256 -16
that is the change in y
then do the x's (in the same order)
1-5 is the change in x

- anonymous

okay so y=240
x=-4

- phi

yes, now divide: change in y divided by change in x

- anonymous

-60 is the rate of change

- phi

yes. on average you lose 60 players each round

- anonymous

Thank you so much i really appreciate you explaining it then telling me the answer thanks!! @phi

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