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A direct variation includes the points $(6,90)$ and $(2,n)$ . Find $n$ . Write and solve a direct variation equation to find the answer. $\newline$ n = ____

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Write and solve direct variation equations

Full solution

Q. A direct variation includes the points

(6,90)

and

(2,n)

. Find

n

. Write and solve a direct variation equation to find the answer.

\newline

n = ____

Write formula: Write the direct variation formula. $\newline$ Direct variation: $y = kx$
Find $k$ : Use the point $(6,90)$ to find the constant of proportionality, $k$ . $90 = k \times 6$
Solve for k: Solve for k. $\newline$ $k = \frac{90}{6}$ $\newline$ $k = 15$
Write equation with $k$ : Write the direct variation equation with $k$ . $y = 15x$
Find $n$ : Use the direct variation equation to find $n$ when $x = 2$ . $\newline$ $n = 15 \times 2$ $\newline$ $n = 30$

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