The pair of points is on the graph of an inverse variation. find the missing value. (1.6,6) and (8,y)

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 divide both sides by 8

y = 1.2

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step-by-step explanation: