Write the equation of direct variation for x = 4, y = -2.1276.
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OpenStudy (skullpatrol):
Any ideas?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
help?
OpenStudy (skullpatrol):
Do you know the form of a "direct variation"?
OpenStudy (anonymous):
y=kx?
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OpenStudy (skullpatrol):
Correct.
OpenStudy (anonymous):
what now?
OpenStudy (skullpatrol):
The question gives you x = 4, y = -2.1276 what do you think?
OpenStudy (anonymous):
-2.12176=k4?
OpenStudy (skullpatrol):
Perfect, now what is the only "unknown" in that equation?
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OpenStudy (anonymous):
K?
OpenStudy (skullpatrol):
Yes....
OpenStudy (anonymous):
what do i do?
OpenStudy (anonymous):
idk
OpenStudy (skullpatrol):
$$\Huge-2.12176=k*4$$
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OpenStudy (skullpatrol):
Once you know what "k" is you can put it into the direct variation form y = kx, right?
OpenStudy (anonymous):
k=-.53044?
OpenStudy (anonymous):
i think?
OpenStudy (skullpatrol):
Yes, that is what $$\frac{-2.12176}{4}$$equals :)
OpenStudy (anonymous):
ok thankss
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OpenStudy (skullpatrol):
Now answer the question and put into the y=kx form please.
OpenStudy (skullpatrol):
Write the equation of direct variation
OpenStudy (anonymous):
-2.12176=-.53044(4)
OpenStudy (anonymous):
??
OpenStudy (skullpatrol):
That equation says:
-2.12176 = -.53044(4)
-2.12176 = -2.12176 which is a true statement.
The question asks for "Write the equation of direct variation"
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OpenStudy (anonymous):
so what do i do?
OpenStudy (skullpatrol):
Substitute the value of "k" you calculated into the general form y = kx.
OpenStudy (anonymous):
so my answer is -.53044?
OpenStudy (skullpatrol):
Your answer is the asked for equation.
OpenStudy (skullpatrol):
k = -0.53044
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