The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)
1 answer:
<h3>
Answer: y = 1.2 </h3>
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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