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Mathematics 10 Online
OpenStudy (anonymous):

suppose that y varies inversely with x. write a function that models the inverse function. x =5 when y = 7

OpenStudy (jdoe0001):

something varies INVERSELY to something else means something = "n"/(something else) or \(\bf y = \cfrac{n}{x}\) what's "n" or constant of variation? we dunno, but we know that when x = 5, y = 7 so \(\bf y = \cfrac{n}{x}\\ 7 = \cfrac{n}{5}\) solve for "n", what does that give you?

OpenStudy (anonymous):

y= 35/x

OpenStudy (anonymous):

@jdoe0001

OpenStudy (jdoe0001):

then the equation for that INVERSE VARIATION will be \(\bf y = \cfrac{35}{x}\)

OpenStudy (anonymous):

thanks

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