Mathematics
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OpenStudy (anonymous):
Help *metals*
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OpenStudy (anonymous):
If y varies directly as x, find the constant of variation if y = 32 when x = 8.
OpenStudy (anonymous):
what is the formula for direct variation?
OpenStudy (anonymous):
first write the direct variation equation: y = kx. plug in what you know and solve for what you need.
OpenStudy (anonymous):
the formula is y=kx so plug in 32 for y and 8 for x.
OpenStudy (anonymous):
This answer is 4?
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OpenStudy (anonymous):
you got it!
OpenStudy (anonymous):
yes!
OpenStudy (anonymous):
k=4
OpenStudy (anonymous):
Next question
OpenStudy (anonymous):
Write an appropriate direct variation equation if y = 14 when x = -14.
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OpenStudy (anonymous):
you should have an idea of what to do, so do it!
OpenStudy (anonymous):
what is the formula for direct variation?
OpenStudy (anonymous):
y=kx right?
OpenStudy (anonymous):
yes, now get to it
OpenStudy (anonymous):
yes now plug in 14 for y and -14 for x and that is you're answer
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OpenStudy (anonymous):
so what is you're answer?
OpenStudy (anonymous):
k=-x is that the answer
OpenStudy (anonymous):
no, that would mean the \(y=-x^2\)
OpenStudy (anonymous):
y=x ?
OpenStudy (anonymous):
14=k(-14)
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OpenStudy (anonymous):
no, 14 = k(-14) solve for k
OpenStudy (anonymous):
-1
OpenStudy (anonymous):
yes!
OpenStudy (anonymous):
yep!
OpenStudy (anonymous):
k=-1
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OpenStudy (anonymous):
y = 14x
y = -14x
y = x
y = -x
(options)
OpenStudy (anonymous):
what is -1*x
OpenStudy (anonymous):
if k=-1 then what you're answer?
OpenStudy (anonymous):
y=-1*x = ?
OpenStudy (anonymous):
y=-1x
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OpenStudy (anonymous):
yes I believe so.
OpenStudy (anonymous):
Write an appropriate direct variation equation if y = 8 when x = 2.
OpenStudy (anonymous):
I'm done you can do that one on you're own since you know the formula.