Question

2 Hiroaki says that a constant of proportionality must be a whole number and

Answer 1

Given:

Hiroaki says that a constant of proportionality must be a whole number and  cannot be a fraction or a decimal.

To find:

The explanation, why Hiroaki is incorrect.

Solution:

If y is directly proportional to x, then

$y\propto x$

$y=kx$

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

where, k is the constant of proportionality.

It means, the constant of proportionality is the ratio of two directly proportional variables.

So, constant of proportionality can be any real.

Thus, the statement that a constant of proportionality must be a whole number and  cannot be a fraction or a decimal is incorrect.

Hence, Hiroaki is incorrect because constant of proportionality can be any real.