Question

In the expression a = k/b, what is k

Answer 1

Answer:

k=ab

Step-by-step explanation:

a=k/b

a(b)=(k/b)(b)---multiple b to both sides to isolate k

k=ab

Answer 2

Answer:

k is the constant of variation.

Step-by-step explanation:

In direct variation:

$y\propto x$

$y=kx$

In inverse variation:

$y\propto \frac{1}{x}$

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

$yx=k$

In both cases k is the constant of variation

The given equation is

$a=\frac{k}{b}$

We need to find the value of k in this equation.

First we have to isolate k on one side of the equation.

Multiply both sides by b to isolate k on right side.

$a\times b=\frac{k}{b}\times b$

Cancel out the common factors.

$ab=k$

Interchange the sides of the equation.

$k=ab$

It means a and b are inversely proportional.

Therefore, the k is the constant of variation.