Question

If variable x is directly proportional to y then
for constant of proportionality k we can
write formula​

Answer 1

Step-by-step explanation:

In this case y is said to be directly proportional to x with proportionality constant k. Equivalently one may write x = 1k ⋅ y; that is, x is directly proportional to y with proportionality constant 1k (= xy).

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Answer 2

Given,

Variable x is directly proportional to y.

To find,

The formula for the constant of proportionality (k).

Solution,

Here the variable x is given to be directly proportional to another variable y. This can be represented mathematically as follows.

x ∝ y

Now, we use to multiply a constant of proportionality on the RHS, when removing the proportionality sign.

Here, the constant of proportionality is given as, k. So,

x = k·y

On rearranging this equation, we get a formula for k as,

$k=\frac{x}{y}$

Therefore, the formula for the constant of proportionality (k), when x is directly proportional to y, will be $k=\frac{x}{y}.$