Question

Medal


A volleyball playoff competition has eliminations each round. The table below shows the number of teams in each round of the tournament:


Round (x) 1 2 3 4
Teams f(x) 16 8 4 2


Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.
negative three over fourteen; on average, there were 3 fewer teams every 14 rounds
negative fourteen over three; on average, there were 14 fewer teams every 3 rounds
3; there were 3 rounds between rounds 1 and 4
14; there were 14 fewer team between rounds 1 and 4

Answer 1

\(\large\color{blue}{ \huge{ \begin{array}{| l | c | r |}
\hline \scr~~~x~~ & \scr y \\
\hline
\scr~~~1~ & \scr 16 \\
\hline
\scr~~~2~ & \scr 8 \\
\hline
\scr~~~3~ & \scr 4 \\
\hline
\scr~~~4~ & \scr 2 \\
\hline \end{array} } }\)


this is your chart ?

Answer 2

yes

Answer 3

when x=1, y=16
when x=4, y=2 (this is simply based on the chart)

So, your to points are (1,16) and (4,2) are your two points.

\(-------------------------\)

Answer 4

THE SLOPE FORMULA:

\(\LARGE \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm y}_1}-\color{red}{{\rm y}_2}}{\color{green}{{\rm x}_1}-\color{darkgoldenrod}{{\rm x}_2}} }\)

where
\(\LARGE \color{black}{ \displaystyle {\rm m} }\) is the slope
\(\Large\color{black}{ \displaystyle (\color{green}{{\rm x}_1}~,~~\color{blue}{{\rm y}_1}) }\) and \(\Large\color{black}{ \displaystyle (\color{darkgoldenrod}{{\rm x}_2}~,~~\color{red}{{\rm y}_2}) }\) are your two points.

Answer 5

apply the slope formula.... good luck!

Answer 6

i try