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If the variable y varies inversely as the variable x y=10 when x=2 find y when x=5

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Answer: If the variable y varies inversely as the variable x, this means that y and x are related by the equation:

y = k/x

where k is a constant of proportionality. We can use the given value of y and x to solve for k, and then use the value of k to find y when x=5.

From the given information, we know that when x=2, y=10. Substituting these values into the equation above, we get:

10 = k/2

Multiplying both sides by 2, we get:

k = 20

Now we can use this value of k to find y when x=5:

y = k/x = 20/5 = 4

Therefore, when x=5, y=4.

Explanation:

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