Question

Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?

Answer 1

Answer:

An inverse variation function has the following form:

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

where is constant.

Because the function traverses (4, 5). therefore

5$5=\frac{k}{4}$
$k=20$

As a result, the required function is

$y=\frac{20}{x}$

or

$xy=20$
Check that the function is correct by passing it through the point (10, 2).

When x = 10, get

$y=\frac{20}{10} =2$

This confirms that the function is correct.

Answer: $y=\frac{20}{x} or xy=20$

I hope this helps.