Question

If x is not equal to 0 and x is inversely proportional

to y, which of the following is directly

proportional to 1/x sq.?

Answer 1

tips?

Answer 2

If x is inversely proportional to y, then y is inversely proportional to x.
You can write this as either y=k/x or x=k/y.
Maybe substitute k/y for x and square that.

Answer 3

Not sure if I am correct, but let x = k/y. k is a constant so you don't have to worry about it. Now reciprocal both side then square it.

Answer 4

hold up

Answer 5

1/x=y/k?

Answer 6

yeah, now square both sides.

Answer 7

Ignore the constant, we want to find what function of y is directly proportional to 1/x².

Answer 8

1/x squared=y squared/k squared?

Answer 9

Yeah, ignoring the constant, y² is directly proportional to 1/x², I believe.

Answer 10

By the way, is your question the multiple choice question?

Answer 11

yeah

Answer 12

1/x sq.=y sq./ k sq.

Answer 13

k sq./x sq.=y sq.?

Answer 14

Is y² there?

Answer 15

yeah

Answer 16

Yes, that's correct, I believe.

Answer 17

Then this is your answer. I hope so.

Answer 18

nope

Answer 19

y sq.

Answer 20

y

Answer 21

1/y

Answer 22

1/y sq.

Answer 23

-1/y sq.

Answer 24

Well, I don't know. I've never face this problem before, so I'm not sure exactly how to solve this. Sorry about this.

Answer 25

they said that the answer was y sq.

Answer 26

so, do I ignore k sq.?

Answer 27

if that is the case, 1/x sq.=y sq.

Answer 28

Yeah, I guess so.

Answer 29

\[\large y=\frac{1}{x}\]
square both sides
\[\large y^2 = \frac{1}{x^2}\]

Answer 30

k