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Mathematics 9 Online
OpenStudy (howard-wolowitz):

question

OpenStudy (howard-wolowitz):

@pitamar

OpenStudy (anonymous):

Yes?

OpenStudy (howard-wolowitz):

come back

OpenStudy (anonymous):

Ok I'm here

OpenStudy (howard-wolowitz):

alright I have some I need some help with

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Ok, so we know that y varies inversely with x, so it's of the form \(y = \frac{k}{x}\), right? Now we have to find \(k\). We are told that when x=2 we have y=2 so we plug in: $$ y = \frac{k}{x} \implies 2 = \frac{k}{2} $$Can you solve for \(k\)?

OpenStudy (howard-wolowitz):

k=1

OpenStudy (anonymous):

well that's not correct. if you have \( \frac{k}{2} = 2 \) and we want to get only \(k\) on the left, we have to cancel the division by 2. We can do so by multiplying both sides by 2. Then we have: $$ \frac{k}{2} = 2 \implies \frac{k}{2} \cdot 2 = 2 \cdot 2 \implies k = 4 $$

OpenStudy (howard-wolowitz):

oh ok so we multiply gothca

OpenStudy (howard-wolowitz):

the we could reduce y=4x as-well then right?

OpenStudy (howard-wolowitz):

or reduce it to that

OpenStudy (anonymous):

no, once we know \(k=4\) we just plug it in our expression: $$ y = \frac{k}{x} \implies y = \frac{4}{x} $$That's it

OpenStudy (howard-wolowitz):

ok I"ll make a new post for medals! :)

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