Question

Create your own proportion problems?

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Required

Proportion problems

An example is:

y is directly proportional to x such that: y=4 when x = 2;

Derive the equation

For direct proportions, we have:

$y\ \alpha\ x$

This gives:

$y = kx$

Make k the subject

$k = y/x$

So:

$k = 4/2 =2$

So, the equation is:

$y = kx$

$y = 2x$

Assume the above question is for inverse proportion

The variation will be:

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

This gives:

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

Make k the subject

$k =x*y$

$k =2* 4 = 8$

So, the equation is:

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

$y = \frac{8}{x}$