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stiks02 [169]
3 years ago
6

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

d. \displaystyle y = \frac{-6}{x}

Step-by-step explanation:

The fastest way to do this is to simply plug in whatever the exercise gave to you into each answer choise to figure out which one fits the best.

I am joyous to assist you at any time.

snow_tiger [21]3 years ago
4 0

Answer:

\displaystyle \text{d. }y=\frac{-6}{x}

Step-by-step explanation:

If two values x and y are inversely proportional, their product is <em>always</em> some maintained constant (the product of x and y is always maintained). This way, if one goes up, the other must go down by the same extent. By definition, this represents an inversely proportional relationship.

Therefore, we can simply find this constant by multiplying the given values of x and y:

xy=k,\\6\cdot (-1)=-6

The constant -6 must be maintained as the product of x and y for all values of x and y for them to be inversely proportional. Thus, we have the equation:

xy=-6

Divide both sides by x to isolate y:

\boxed{y=\frac{-6}{x}}

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