Question

Y varies inversely as x, and y = 50 when x = 10. What is the value ofy when x = 20? 100

Answer 1

Answer:

25

Step-by-step explanation:

Since y varies inversely with x, the relation between y and x will be:

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

Introducing the proportionality constant, we can write:

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

Using the first set of given values of x and y, we get:

$50=\frac{k}{10}\\\\k = 500$

This means, the relation between y and x is:

$y = \frac{500}{x}$

We have to find y if x = 20. Using this value in above equation, we get:

$y=\frac{500}{20} \\\\ y = 25$

Thus y would be 25 if x is 20.