Question

What is the constant of variation?

An x-y table shows the following coordinate pairs: three comma thirty, nine comma ten, and fifteen comma six.

6

ten

thirty

ninety

Answer 1

\(\large \begin{array}{ccllll}
x&y
\\\hline\\
3&30\\
9&10\\
15&6
\end{array} \quad ?\)

Answer 2

yes

Answer 3

those values don't seem indicate some direct variation though

Answer 4

\(\begin{array}{cccllll}
\textit{something }&\textit{varies directly to }&\textit{something else}\\ \quad \\
\textit{something }&={\color{red}{ \textit{some value }}}&\textit{something else}\\ \quad \\
y&={\color{red}{ n}}&x&\implies y={\color{red}{ n}}x
\end{array}\)

which usually just means there's a multiplier from "x" to "y"
but I don't see a common multiplier coming from that table

Answer 5

unless each table entry is a separate function in itself

Answer 6

Then i don't know it because that is what the table exactly looks like.

Answer 7

http://www.mathsisfun.com/algebra/directly-inversely-proportional.html <--- what you're asked to provide is the "constant of variation" or in that article is called the "constant of proportionality"

Answer 8

each section of numbers colums are seperated from other.

Answer 9

hmmm how about posting a quick screenshot of the material?