Question

A music competition on television had five elimination rounds. After each elimination, only half of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition:

x 1 2 3 4 5
f(x) 64 32 16 8 4

Answer 1

Compute the average rate of change of f(x) from x = 3 to x = 5, and describe what it represents.

-6 contestants per round, and it represents the number of contestants who will reach the final round
-28 contestants per round, and it represents the number of contestants who will reach the final round
-6 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round
-28 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round

Answer 2

@borak @iGreen

Answer 3

hi you calculate the average rate of change , or slope on the two points

Answer 4

\[\Delta{y}/\Delta{x}\]

Answer 5

you have the two points (5,4) and (3,16)

Answer 6

if you use the formula you will get = > (4-16)/(5-3) = -6

Answer 7

what is it represent is :- the average of decreasing on the competition

Answer 8

i kind of don't get it..

Answer 9

if you draw a linear function from the two point's ;
the slope = -6

Answer 10

oh, okay !

Answer 11

let's explain more further :D ?
if you check in the result form x=3 to x=5 it's lost 12 person

Answer 12

if you have 2 points from x=3 to x=5 which describe the num of competition , the average of losing is the slope;
12 person losing / 2 compettion s= 6 person lose per compettion

Answer 13

losing mean (-6);

Answer 14

alright !

Answer 15

does that mean that it's C, though ?

Answer 16

https://www.desmos.com/calculator/j75taamjda
this is graph to function + the linear function I described

Answer 17

yea the answer is C

Answer 18

thank you !

Answer 19

check the function more detail :D