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wlad13 [49]
1 year ago
13

A direct variation includes the points (3, 12) and (n, 8). Find n.

Mathematics
1 answer:
vampirchik [111]1 year ago
5 0

For a direct variation between each point (x, y),

\begin{gathered} x\propto y \\ x=ky \\ k=\frac{x}{y} \end{gathered}

For (x₁, y₁) = (3, 12),

\begin{gathered} k=\frac{3}{12} \\ k=0.25 \end{gathered}

To find n, consider (n, 8) = (x, y)

\begin{gathered} x=ky \\  \end{gathered}

Substituting,

\begin{gathered} n=0.25\times8 \\ n=2 \end{gathered}

Therefore, the value of n is 2

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