Question

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

Answer 1

@mertsj can you please help

Answer 2

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

Answer 3

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)

Answer 4

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.

Answer 5

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

Answer 6

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 ?

Answer 7

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

Answer 8

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

Answer 9

okay so y=240
x=-4

Answer 10

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

Answer 11

-60 is the rate of change

Answer 12

yes. on average you lose 60 players each round

Answer 13

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