Question

What is the constant of proportionality in the equation $\mathrm{y}=2.5\mathrm{x}$?

Answer 1

Finding the constant of proportionality:

We know that the constant of proportionality $\mathrm{k}=\frac{\mathrm{y}}{\mathrm{x}}$, where $\mathrm{x}$ and $\mathrm{y}$ are two variable quantities directly proportional to each other.

So, in the given equation $\mathrm{y}=2.5\mathrm{x}$

Constant of proportionality, $\mathrm{k}=\frac{2.5\mathrm{x}}{\mathrm{x}}$

$\mathrm{k}=2.5$

Hence, the constant of proportionality in $\mathrm{y}=2.5\mathrm{x}$ is $2.5$.