Explanation:
Hello! It's hard to understand your tables, so I could help you in a general way. Remember you have to write clear questions in order to get good and exact answers.
When we say that [tex]y[/tex] varies directly as [tex]x[/tex] or [tex]y[/tex] is directly proportional to [tex]x[/tex], we say that [tex]y[/tex] can be written in terms of [tex]x[/tex] as the following form:
[tex]y=kx[/tex]
Where [tex]k[/tex] is the constant of variation or the constant of proportionality.
[tex]y=kx \\ \\ \\ \text{For some nonzero constant k} \\ \\ \text{Where k is the constant of variation or the constant of proportionality}[/tex]
So this is a line that passes through the origin. So we can establish a table as follows:
[tex]Suppose \ k=3 \ then: \\ \\ \\ y=3x \\ \\ \\ TABLE: \\ \\ \begin{array}{cc}x & y\\0 & 0\\1 & 3\\2 & 6\\3 & 9\end{array}[/tex]
