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How do you write an inverse variation equation that relates x and y when you assume that y varies inversely as x given that if y=3.2 when x= -5.5, find y when x= 6.4?

Answer 1

Julia Adams

#xy = color(red)(-17.6#
#color(blue)( y = -2.75#

#color(blue)(xy) =color(red)(k# is the representation of inverse variation.

So #color(red)(k) = 3.2 xx (-5.5)#

# color(red)(k =- 17.6# So the variation can be mentioned as #xy = color(red)(-17.6#

# color(blue)(y) =k/x# # color(blue)(y =-17.6/6.4 = -2.75#

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Answer 2

Eva Adamson

The inverse variation equation that relates x and y is y = k/x. To find the value of k, we can use the given information: y = 3.2 when x = -5.5. Plugging these values into the equation, we get 3.2 = k/(-5.5). Solving for k, we find k = -17.6. Now we can use this value of k to find y when x = 6.4. Plugging these values into the equation, we get y = -17.6/6.4. Simplifying, we find y ≈ -2.75. Therefore, when x = 6.4, y is approximately -2.75.

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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.