Question

In which table(s) does y vary directly with x? Check all that apply.

Answer 1

Answer:

a b and c

Step-by-step explanation:

Answer 2

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 $y$ varies directly as $x$ or $y$ is directly proportional to $x$, we say that $y$ can be written in terms of $x$ as the following form:

$y=kx$

Where $k$ is the constant of variation or the constant of proportionality.

$y=kx \\ \\ \\ \text{For some nonzero constant k} \\ \\ \text{Where k is the constant of variation or the constant of proportionality}$

So this is a line that passes through the origin. So we can establish a table as follows:

$Suppose \ k=3 \ then: \\ \\ \\ y=3x \\ \\ \\ TABLE: \\ \\ \begin{array}{cc}x & y\\0 & 0\\1 & 3\\2 & 6\\3 & 9\end{array}$