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The equation is xy = 22.5

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Q: Find the constant variation k for the inverse variation then write an equation for the inverse variation y 2.5 when x 9?
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If y varies with x, then there cannot be an inverse variation between x and y!


How do you find the inverse of the slope of the line?

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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 = kwhere k is the constant of variation.We can also express the relationship between x and yas:y = k / xwhere k is the constant of variation.Example 1: If y varies inversely as x , and y = 6 when x = , write an equation describing this inverse variation.k = (6) = 8xy = 8 or y = 8 / ZThat's an example of an inverse variation!Example 2: If y varies inversely as x , and the constant of variation is k = , what is y when x = 10 ?xy =10y =y = × = × =k is constant. Thus, given any two points ( x 1, y 1 ) and ( x 2, y 2 ) which satisfy the inverse variation, x 1 y 1 = k and x 2 y 2 = k . Consequently, x 1 y 1 = x 2 y 2 for any two points that satisfy the inverse variation.Example 3: If y varies inversely as x , and y = 10 when x = 6 , then what is y when x = 15 ?x 1 y 1 = x 2 y 26(10) = 15y60 = 15yy = 4Thus, when x = 6 , y = 4 .Hope I helped!


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it would be, X*Y=K (X multiplied by Y equals K) You get inverse equations when there is no specific number you are multiplying by. it can also be Y=K/X, hope this helps :)


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