2024 CGSS P1 Q9

It is given that \(y = \ln \left(\frac{2x}{5 - x} \right)\), where \(0 < x < 5\).

1. If \(y\) is decreasing at a rate of \(10\) units/s, find the rate of change of \(x\) when \(y = \ln 8\).[5]
2. The equation of the normal to the curve at point \(A\) is \(8y = 8\ln 2 + 25 - 10x\). Find the \(x\)-coordinate of point \(A\).[4]