A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of the tournament:
Round (x) 1 2 3 4
Wrestlers f(x) 64 32 18 9
Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.
A)55; there were 55 fewer wrestlers between rounds 1 and 4
B)3; there were 3 rounds between rounds 1 and 4
C)negative fifty five over three; on average, there were 55 fewer players for every 3 rounds
D)negative three over fifty five; on average, there were 3 fewer players for every 55 rounds

- anonymous

- jamiebookeater

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- anonymous

@muscrat123 HEY CAN YOU HELP ME PLEASE

- muscrat123

- muscrat123

WHY DO U KEEP TAGGING ME AFTER I SAY I DONT KNOW HOW TO ANSWER THE QUESTION????

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## More answers

- anonymous

i sorry i dont see you comment

- muscrat123

if im not sure, I WILL NOT ANSWER. i dont want to give anybody an incorrect answer

- muscrat123

- campbell_st

average rate of change is the slope of the line
use the points (1, 64) and (4, 9)

- anonymous

yup campbell is right

- anonymous

yea so what i need to do next?

- campbell_st

so what did you get as the slope...?

- anonymous

(1*64)(4*9)= 2304? is right?

- anonymous

i'm not good at math :(

- campbell_st

slope = (change in y)/(change in x)
sometimes referred to as slope = rise/run

- anonymous

slope is x2-x1/ y2-y1

- campbell_st

so the points need to match for x and y
slope = (64 - 9)/(1 - 4)
what do you get

- anonymous

-18.3

- anonymous

?

- campbell_st

so for your question its
avg change = (change in wrestlers)/(change in rounds)

- campbell_st

well why not leave it as a fraction.... seeing some of the answer choices are fractions

- anonymous

you have two points plug the x valule with the x vaule and y value with y

- campbell_st

so as an improper fraction.. what do you thing the avg change of slope would be..?

- anonymous

i dont know :(

- anonymous

@campbell_st ???

- anonymous

are you there?

- anonymous

please i really need help on this

- campbell_st

well you had a decimal value
avg change = (change in wrestlers)/(change in rounds)
= (64 - 9)/(1 - 4)

- anonymous

=-18.3?

- campbell_st

can you give the answer as in improper fraction

- anonymous

how? i dont know how

- campbell_st

what number is the change in wrestlers
what number is the change in rounds...?

- anonymous

Round (x) 1 2 3 4
Wrestlers f(x) 64 32 18 9

- campbell_st

change in wrestlers 64 - 9 =
avg change = ------------------------------------ --------------
change in rounds 1- 4 =
what do you think the missing numbers in the fraction are..?

- anonymous

-55/ 3

- anonymous

wrestlers= 55
rounds= -3

- campbell_st

great so you are looking at choices C or D
so read the choices and decide which should be your answer

- anonymous

-55/-3= 18.3

- anonymous

D?

- campbell_st

but your answer choices don't contain a decimal... that's why I asked you to
write it as an improper fraction.

- campbell_st

so you are saying the avg change is
\[avg ~change = \frac{-3}{55}\]
is that the same as you answer above
\[Avg~ change = \frac{-55}{3}\]

- anonymous

YES

- campbell_st

well I Think you should choose C
the avg change = -55/3

- anonymous

Yea, thank you so much! can you help me with one more?

- anonymous

Which of the following options is an equivalent function to f(x) = 3(2)3x?
f(x) = 3(8)x
f(x) = 24x
f(x) = 27(8)x
f(x) = 3(8x)

- anonymous

- anonymous

- anonymous

make another post for that answer AND DONT FORGET TO TAG ME :)

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