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Which of the following equations is an example of inverse variation between the variables x and y?A.𝑦=9𝑥y= x9​ B.𝑦=𝑥9y= 9x​ C.y = x + 9D.y = 9xSUBMITarrow_backPREVIOUS

Question

Which of the following equations is an example of inverse variation between the variables x and y?A.𝑦=9𝑥y= x9​ B.𝑦=𝑥9y= 9x​ C.y = x + 9D.y = 9xSUBMITarrow_backPREVIOUS

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Solution

The equation that represents an inverse variation between the variables x and y is of the form y = k/x, where k is a constant.

Looking at the options:

A. 𝑦=9𝑥y= x9​ B. 𝑦=𝑥9y= 9x​ C. y = x + 9 D. y = 9x

Option A seems to be a typo, but if it's meant to be y = 9/x, then it would be an example of inverse variation.

Option B, y = 9x, is an example of direct variation, not inverse variation.

Option C, y = x + 9, is a linear equation, not an example of inverse variation.

Option D, y = 9x, is also an example of direct variation, not inverse variation.

So, if option A is meant to be y = 9/x, then option A is the correct answer. If not, none of the given options represent an inverse variation.

This problem has been solved

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