If y varies directly as x, find the direct variation equation for the situation.
y = 4 when x = 8
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OpenStudy (anonymous):
HI
OpenStudy (anonymous):
hi
OpenStudy (anonymous):
NEED HELP
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
WHAT IS THE AEQUATION
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OpenStudy (anonymous):
TYPO
OpenStudy (anonymous):
my topic is the equation is the equations
OpenStudy (anonymous):
do you mean like y=kx?
OpenStudy (phi):
y varies directly as x
that means you have an equation
y = k x
where k is some number
they want you to find k, and then write the correct equation
OpenStudy (anonymous):
YES
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OpenStudy (phi):
to find k, replace the letters y and x with the numbers they gave you
put the numbers into
y= k x
can you do that ?
OpenStudy (anonymous):
so 4=k8?
OpenStudy (phi):
now "solve for k"
you divide both sides by 8
can you do that ?
OpenStudy (kitten_is_back):
y+=+%28kx%29 k being the constant of proportionality.
y = 27 when x = 21
27 = k*21
27/21 = k
OpenStudy (phi):
**so 4=k8?***
\[ \frac{4}{8}= \frac{k\cdot 8}{8}\]
on the right side 8/8 is 1
and 1*k is k
what do you get on the left side?
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OpenStudy (anonymous):
0.5
OpenStudy (anonymous):
or 1/2?
OpenStudy (anonymous):
YEP
OpenStudy (phi):
so now you can write down the "direct equation of variation"
1/2 or 0.5 mean the same thing.
so the answer (i.e. the equation they want) is
y = (1/2) x
or
y= 0.5 x
OpenStudy (anonymous):
ok thxs
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