Question

What is the constant of proportionality "k"?

Answer 1

Direct Variation

If `y` is directly proportional to `x`, then we can write

`y=kx`,

where `k` is the constant of proportionality.

If you solve for `k`, we have

`k=y/x`,

which is the ratio of `y` to `x`.

Hence, the constant of proportionality is the ratio between two quantities that are directly proportional.

---

Inverse Variation

If `y` is inversely proportional to `x`, then we can write

`y=k/x`,

where `k` is the constant of proportionality.

If you solve for `k`, we have

`k=xy`,

which is the product of `x` and `y`.

Hence, the constant of proportionality is the product of quantities that are inversely proportional.

---

I hope that this was helpful.