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 \( x=-25 \).
\[
y=
\]
\(y=-\frac{20}{-25}=\frac{4}{5}\)
Step 1 :\(k=x\cdot y\)
Step 2 :k=-2 \cdot 10 = -20
Step 3 :\(y=-\frac{20}{-25}=\frac{4}{5}\)