Question

Consider the equation 1/4y = 1.5x. Solve the equation for y. What is the constant of proportionality?

Answer 1

For this case we have to by definition, if "y" varies directly with "x" it is represented as:

$y = kx$

Where:

k: It is the constant of proportionality

We have to:

$\frac {1} {4} y = 1.5x$

We clear the variable "y":

$y = 4 (1.5x)\\y = 6x$

Thus, the constant of proportionality is: $k = 6$

Answer:

$k = 6$