The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. use

it to answer the questions.

kilometers walked for charity

12 3 3 6 7 99

13 1 14 s5

14 0 0 2 3 3 8 8 9

15 2 2 2 2 2 3 5 5 7

16 4 5 5 99

17 3 5

key. 12|3 means 12.3

a. how many people participated in the walk?

b. how many of the walkers traveled more than 14 kilometers?

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Ответ:

breiajr

02.01.2021

Mathematics

$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}\\\\
-----------------------------\\\\
$

$\bf \textit{the time a pump drains the pool varies inversely with the wattage }
\\\\\\
thus\qquad t=\cfrac{k}{w}\qquad 
\begin{cases}
t=time\\
k=\textit{constant of variation}\\
w=\textit{wattage power}
\end{cases}
\\\\\\
\textit{now, we know that with the old pump }
\begin{cases}
w=80\\
t=5
\end{cases}\implies 5=\cfrac{k}{80}
\\\\\\
5\cdot 80=k\implies 400=k\qquad thus\implies \boxed{y=\cfrac{400}{w}}$

now, how long will it take with the new pump that does 100watts?

well, set w = 100, to get the "t" value

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