Y is directly proportional with x. Write an equation that shows the relationship if x = 2 and y = 6?

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Y is directly proportional with x. Write an equation that shows the relationship if x = 2 and y = 6?

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Answer 1 · 2018-05-01T02:50:21

$\Rightarrow y = 3 x$ $=>y = 3x$

Explanation:

Direct proportionality is defined as:

$y = α x$ $y = alpha x$

where $α$ $alpha$ is some constant that defines the proportionality.

Given $x = 2$ $x = 2$ and $y = 6$ $y = 6$ , we find:

$y = α x$ $y = alpha x$

$6 = α (2)$ $6 = alpha (2)$

$3 = α$ $3 = alpha$

So the relationship here is $y = 3 x$ $y = 3x$

Answer 2 · 2018-05-01T03:04:55

$y = 3 x$ $y = 3x$

Explanation:

When two variables are directly proportional, it means that one is a constant multiple of the other. For example, in the equation $y = 16 x$ $y = 16x$ , $y$ $y$ is directly proportional to $x$ $x$ , because $y$ $y$ is just some constant multiple of $x$ $x$ . (In this case, the constant multiple is 16.)

The equation $y = x^{2}$ $y = x^2$ does not represent a directly proportional relationship, because $y$ $y$ is not some constant multiple of $x$ $x$ .

To the problem at hand -- we are given that $y$ $y$ and $x$ $x$ are directly proportional. This means $y$ $y$ is a constant multiple of $x$ $x$ . This can be written as $y = k x$ $y = kx$ , where $k$ $k$ is some constant multiple (a number).

We have the equation $y = k x$ $y = kx$ and we are also told that $x = 2$ $x = 2$ and $y = 6$ $y = 6$ . We can directly plug these in to determine the value of $k$ $k$ . $y = k x \to 6 = 2 k \to k = 3$ $y = kx -> 6 = 2k -> k = 3$ . Thus, our relationship is given by the equation $y = 3 x$ $y = 3x$ . This is our final answer.

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Y is directly proportional with x. Write an equation that shows the relationship if x = 2 and y = 6?

2 Answers

Explanation:

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