Question

y varies inversely as x, and y = 50 when x = 10. What is the value of y when x = 20? 100
25
10

Answer 1

100 because of the system

have a good day

Answer 2

Answer:

$y=25$

Step-by-step explanation:

We have been given that y varies inversely as x and $y=50$, when $x=10$.

We know that when y varies inversely with x, then the equation is: $y=\frac{k}{x}$, where, k represents constant of variation.

First of all, we will find constant of variation using point $y=50$, and $x=10$ as shown below:

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

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

$500=k$

Upon substituting $k=500$ in inversely proportion we will get:

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

To find the value of y, we will substitute $x=20$ in above equation as:

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

$y=\frac{50}{2}$

$y=25$

Therefore, the value of y is 25.