Question

For the inverse variation equation of xy = 19, complete the statement, y________as x decreases.
increases
decreases
remains constant
I think it remains constant but I also think it increases, im not sure please explain

Answer 1

@jim_thompson5910

Answer 2

decreases

Answer 3

let's say x = 1

xy = 19

1*y = 19

y = 19

now let's say x increases to 19

xy = 19

19*y = 19

y = 19/19

y = 1

so as x increased, did y increase, decrease, or stay the same?

Answer 4

stays the same?

Answer 5

@jim_thompson5910

Answer 6

x goes from 1 to 19

y goes from 19 to 1

see this?

Answer 7

yes

Answer 8

so as x increases, y decreases

if x decreases, then y increases (everything flips)

Answer 9

so the final answer is "increases"

Answer 10

remember with inverse, as one thing goes up, the other goes down (or vice versa)

Answer 11

okay so it will always be one or another not "stay the same"

Answer 12

correct, nothing will stay the same if one variable changes

Answer 13

okay thank you!

Answer 14

yw