Problem

Suppose that \( y \) varies inversely with \( x \), and \( y=10 \) when \( x=-2 \).
(a) Write an inverse variation equation that relates \( x \) and \( y \).
Equation:
(b) Find \( y \) when \( x=-25 \).
\[
y=
\]

Answer

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Answer

\(y=-\frac{20}{-25}=\frac{4}{5}\)

Steps

Step 1 :\(k=x\cdot y\)

Step 2 :k=-2 \cdot 10 = -20

Step 3 :\(y=-\frac{20}{-25}=\frac{4}{5}\)

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