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OpenStudy (anonymous):
If y varies directly as x and y is 180 when x is n and y is n when x is 5, what is the value of n?
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OpenStudy (mertsj):
A direct variation has an equation of this form: \[y=kx\]
OpenStudy (mertsj):
Plug in x and y and find k
OpenStudy (anonymous):
The two equations used in this case are 180=kn and n=5k. Plug 5k into 180=kn to get \[180=5k^{2}\]. Now solve this to get k=6. 180=6n so n=30.
OpenStudy (anonymous):
How did you get k to equal 6?
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