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Do the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table.

x 1 | 2 | 5 | 10
y 40 | 20 | 8 | 4

A. Direct variation; y=40x
B. Direct variation; y=(1/40)x
C. Inverse variation; xy=40
D. Inverse variation; xy=1/40

Respuesta :

The answer is C. xy=40

If we inspect the table we can see that [tex] y [/tex] decreases with [tex] x [/tex] and [tex] xy=40 [/tex]. Hence the data in the table represents inverse variation.

Since [tex] y=\frac{40}{x} [/tex]. [tex] y [/tex] is inversely proportional to [tex] x [/tex].

The correct choice is (C).

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