Suppose y varies inversely with X, and y = 36 when x = 1/12. What inverse variation equation relates x and y? NO LINKS OR ANSWERING YOU DON'T KNOW!!! a. y= 3x b. y= 3/x c. …

Question

asked Apr 20, 2022 101k views

1 Answer

Michael Anderson · Answer 1 · 2022-04-26T07:04:56+0000

Answer:

B

Explanation:

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

$\displaystyle y=(k)/(x)$

Where k is the constant of variation.

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

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

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

$\displaystyle k=(1)/(12)(36)=3$

Hence, our equation is:

$\displaystyle y=(3)/(x)$

Our answer is B.