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If y varies inversely as x and y = 20 when x = 10, then how do you find the constant of the variation?

Answer 1

To find the constant of variation, you can use the formula for inverse variation: y = k/x. Plug in the given values of y = 20 and x = 10 into the formula and solve for k. In this case, k = xy = 20 * 10 = 200. Therefore, the constant of variation is 200.

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Answer 2

Julia Adams

constant of variation: #200#

If #color(red)(y)# varies inversely as #color(blue)(x)# then #color(white)("XXX")x*y=c# for some constant of variation #c#

Given #color(red)(y)=color(red)(20)# when #color(blue)(x)=color(blue)(10)# is a solution to this equation then #color(white)("XXX")color(blue)(10)*color(red)(20) = c#

#rArr c= color(green)(200)#

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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.