A wrestling 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) 64 32 16 8 4

Compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate.

-15; on average there were 15 fewer wrestlers each round.
60; there were 60 fewer wrestlers between rounds 1 and 5.
-60; on average there were 60 fewer wrestlers each round.
4; there were 4 rounds between rounds 1 and 5.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

d

step-by-step explanation:

i used the pitagoras theoreme

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4