Suppose that y varies inversely with x, and y = 6 when x = 8. What is an equation for the inverse variation?
y = x/48
y = 2x
x = y/2
y = 48/x
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OpenStudy (anonymous):
Help! (:
OpenStudy (anonymous):
Well, The statement " y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant:
xy = k
where k is the constant of variation.
So, the relationship between x and y as:
y=k/x
Do with the formula :)
OpenStudy (anonymous):
@Machida this sort of thing really confuses me.. what would the answer be? :)
OpenStudy (anonymous):
The last one since y=1/x
OpenStudy (anonymous):
@Thefaceless thanks!! :)
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OpenStudy (anonymous):
y = 6
x = 8
then k=xy
find the k first. :)
OpenStudy (anonymous):
@Machida is it correct it would be the last one??(:
OpenStudy (anonymous):
when use y=k/x , it will be y=48/x
OpenStudy (anonymous):
Yes, because y=48/x ---> xy=48 ----> (6)(8)=48
OpenStudy (anonymous):
Nah :)
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OpenStudy (anonymous):
@Machida are you sure??
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
Im sure :)
OpenStudy (anonymous):
@Machida so its y=48/x??
OpenStudy (anonymous):
lol yes.
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