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

2 Answers
May 1, 2018

=>y = 3x

Explanation:

Direct proportionality is defined as:

y = alpha x

where alpha is some constant that defines the proportionality.

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

y = alpha x

6 = alpha (2)

3 = alpha

So the relationship here is y = 3x

May 1, 2018

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 = 16x, y is directly proportional to x, because y is just some constant multiple of x. (In this case, the constant multiple is 16.)

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

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

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