In a direct variation, y is -4 when x is 2. What is y when x = -14?
-28
-7
7
28
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OpenStudy (anonymous):
@Lama97
OpenStudy (anonymous):
@SolomonZelman @rvc
OpenStudy (anonymous):
@rvc do you know?
rvc (rvc):
@Mashy
OpenStudy (anonymous):
@mathmale
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OpenStudy (anonymous):
@tejasvir
rvc (rvc):
@Abhisar im busy
OpenStudy (anonymous):
okay first you have to find the common factor which we're gonna asign it as a variable of k ..
so a direct variation equation is
\[y=kx\] , where K is a constant..
for the first part of the question it says, y = -4 and x = 2 , so the only unknown value here is K , substitte the values of y and x in the equation
\[y= kx \]
\[-4 = 2k \]
\[\frac{ -4 }{ 2 } = k \]
\[k = -2\]
OpenStudy (anonymous):
Okay so then would it be 28?
OpenStudy (anonymous):
now for the second part of the question , we already have the scale factor. which is -2
substitute in the same equation to find y
therefore y = (-2) (-14)
y = 28
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Thanks! Could you help with more
OpenStudy (anonymous):
alright, you can post it in a different thread and we can answer your question