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How do you find the constant of variation K for the inverse variation and write the inverse variation equation given x=3 y=-8?

Answer 1

To find the constant of variation (K) for inverse variation, we can use the formula K = xy, where x and y are the given values. Given x = 3 and y = -8, we can substitute these values into the formula to find K. Thus, K = 3 * (-8) = -24. Therefore, the inverse variation equation is y = -24/x.

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Answer 2

Isaiah Anthony

k = - 24 and equation is # y = -24/x #

for y to vary inversely as x this is written # y prop 1/x #

to make an equation we introduce the constant of variation k

equation is then : y = #k xx 1 /x # =# k/x#

using the condition that x = 3 when y = - 8

and substituting into the equation gives # - 8 = k/3 #

now cross-multiply

# rArr k = - 24 #

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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.