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If y varies inversely as x, and y=40 when x=0.5, how do you find y when x=20?

Answer 1

To find y when x=20, we can use the inverse variation equation. The equation for inverse variation is y = k/x, where k is the constant of variation.

First, we need to find the value of k. We can do this by substituting the given values into the equation. When y=40 and x=0.5, we have 40 = k/0.5.

To solve for k, we can multiply both sides of the equation by 0.5: 40 * 0.5 = k. This gives us k = 20.

Now that we have the value of k, we can substitute it into the inverse variation equation to find y when x=20. Plugging in x=20 and k=20, we get y = 20/20.

Simplifying, we find that y = 1.

Therefore, when x=20, y=1.

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Answer 2

Abigail Allen

#y=1#

# y prop 1/x or y = k * 1/x or x*y =k# [k is a constant]. # x= 0.5 ; y=40 :. x*y=0.5 * 40 =k or k = 20 , x=20 ; y= ? :. x*y=20 ; :.20 *y =20 :. y= 20/20=1# #y=1# [Ans]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.