# Inverse Demand

The inverse demand curve represents the price as a function of the quantity demanded.

## Example

The demand for cookies follows the following equation: Q_D = 10 - 2P.

Solving for P: \begin{align*} Q_D &= 10 - 2P \\ 2P &= 10 - Q_D \\ P &= \frac{10 - Q_D}{2} \end{align*}

The inverse demand is P = \frac{10 - Q_D}{2}.

### Question

The demand for cookies follows the equation Q_D = 9600 - 80 P.

What is the expression of the inverse demand function?

Let's transform the demand function into the inverse demand function. \begin{align*} Q_D &= 9600 - 80 P \\ 80 P &= 9600 - Q_D \\ P &= \frac{9600 - Q_D}{80} \end{align*}

The inverse demand function is P = \frac{9600 - Q_D}{80}.