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mario62 [17]
3 years ago
9

Suppose y varies inversely with X, and y = 36 when x = 1/12. What inverse variation equation relates x and y?

Mathematics
1 answer:
choli [55]3 years ago
7 0

Answer:

B

Step-by-step explanation:

We are given that <em>y</em> varies inversely with <em>x</em>. Recall that inverse variation has the form:

\displaystyle y=\frac{k}{x}

Where <em>k</em> is the constant of variation.

We are given that <em>y</em> = 36 when <em>x</em> = 1/12. Thus:

\displaystyle (36)=\frac{k}{\left({}^{1}\!/\!{}_{12}\right)}

Solve for <em>k</em>. Multiply both sides by 1/12:

\displaystyle k=\frac{1}{12}(36)=3

Hence, our equation is:

\displaystyle y=\frac{3}{x}

Our answer is B.

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