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Nikitich [7]
3 years ago
10

A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th

e 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.
55; there were 55 fewer wrestlers between rounds 1 and 4
3; there were 3 rounds between rounds 1 and 4
negative fifty five over three; on average, there were 55 fewer players for every 3 rounds
negative three over fifty five; on average, there were 3 fewer players for every 55 rounds
Mathematics
2 answers:
vlada-n [284]3 years ago
8 0

Answer:

c

Step-by-step explanation:

AlladinOne [14]3 years ago
6 0
\bf \begin{array}{lllll}
round(x)&\boxed{1}&2&3&\boxed{4}\\\\
wrestlers[f(x)]&\boxed{64}&32&18&\boxed{9}
\end{array}
\\\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=   \qquad 
\begin{cases}
x_1=1\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{9-64}{4-1}\implies \cfrac{-55}{3}

55 over 3, or 55 wrestlers for every 3 rounds, but the wrestlers value is negative, thus 55 "less" wrestlers for every 3 rounds on average.
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