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Assume that $y$ varies inversely with $x$ . If $y = 1$ when $x = -9$ , find $y$ when $x = -3$ . $\newline$ Write and solve an inverse variation equation to find the answer. $\newline$ $y =$ _____

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Write and solve inverse variation equations

Full solution

Q. Assume that

y

varies inversely with

x

. If

y = 1

when

x = -9

, find

y

when

x = -3

.

\newline

Write and solve an inverse variation equation to find the answer.

\newline

y =

_____

Write Inverse Variation Equation: Now we have $k$ , let's write the inverse variation equation. $y = \frac{k}{x}$ $y = \frac{–9}{x}$
Find $y$ for $x = -3$ : We need to find $y$ when $x = -3$ . $\newline$ $y = -9 / (-3)$ $\newline$ $y = 3$

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