Question

i needed to edit this

Answer 1

as x gets bigger, does y get bigger or smaller?

Answer 2

bigger

Answer 3

is there a typo there? you have 15 written for x twice

Answer 4

maybe it should be 25?

Answer 5

yes, I'm sorry. For the last one I meant to put 25

Answer 6

ok good
but your answer to my question was wrong
x gets larger, y gets smaller
it is true that the denominators get larger, but \(\frac{1}{2}>\frac{1}{3}\) right?

Answer 7

ah, yeah sorry again :/

Answer 8

ok no problem
but that tells us it is not "direct variation" but it could be "inverse variation" and it is real easy to tell

Answer 9

see if \(x\times y\) always gives the same number
is \[10\times \frac{1}{2}=15\times \frac{1}{3}=20\times \frac{1}{4}=25\times \frac{1}{5}\]?

Answer 10

would it be like 12, 19.5, 28, 37.5??

Answer 11

no not quite

Answer 12

\[10\times \frac{1}{2}=\frac{10}{2}=10\div2\]

Answer 13

so um, 5

Answer 14

right
and what is 15 divided by 3?

Answer 15

5

Answer 16

ok so far we got five twice
how about \[20\times \frac{1}{4}\] ?

Answer 17

dont forget this means \(20\div4\)

Answer 18

5 again

Answer 19

amazing
and how about \(25\times \frac{1}{5}\)?

Answer 20

5 as well

Answer 21

ok good
so we know it is "inverse variation"

Answer 22

that looks like \[xy=k\] or \[y=\frac{k}{x}\] and you just found \(k\) a bunch of times

Answer 23

okay so then what

Answer 24

replace \(k\) by \(5\) (that number we kept getting)

Answer 25

oh okay

Answer 26

so final answer?

Answer 27

xy=5?

Answer 28

yes or \[y=\frac{5}{x}\] is that is how your teacher prefers it
they say the same thing

Answer 29

Yeah, thank you :)

Answer 30

your welcome
wasn't that bad, was it?

Answer 31

no, it was really easy and I feel bad that I didn't know it XD

Answer 32

hey it is not like you are born knowing this, you have to learn it
that is why they make you do homework !