SOLUTION: The pair of points is on the graph of an inverse variation. Find the missing value. (9, 5) and (x, 6)

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Question 869023: The pair of points is on the graph of an inverse variation. Find the missing value.
(9, 5) and (x, 6)

Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39628) (Show Source):
You can put this solution on YOUR website!
For inverse variation and those two points, you would expect 5 varies inversely with 9, so say . The value of .

The unknown point (x, 6) fits the model as .

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
your points are (9,5) and (x,6)

inverse variation equation is:

y = k/x

when x - 5 and y = 9, this equation becomes:

5 = k/9
multiply both sides of this equation by 9 to get:
k = 9*5 = 45

now you can use the value of k to solve for x in the second pair of (x,6)

your equation is still y = k/x
now you have y = 6 and k = 45.
use those values to get:

6 = 45 / x
multiply both sides of this equation by x to get:
6*x = 45
divide both sides of this equation by 6 to get:
x = 45/6 which is equal to 7.5

your answer is that x = 7.5