Answer :

Final answer:

In an inverse variation, y and x have a relationship where one variable increases while the other decreases. Using the given information, we can find the value of y when x = 20.


Explanation:

In an inverse variation, one variable increases while the other decreases. Mathematically, it can be represented as y = k/x, where k is the constant of variation. To find the value of k, we can substitute the given values:

When y = 50 and x = 10, we have 50 = k/10. Solving for k, k = 500.

Now, we can use the value of k to find y when x = 20:

With k = 500 and x = 20, we have y = 500/20 = 25.


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