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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
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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
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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