On https://www.desmos.com/calculator/im67z1tate, the integral of price is supposed to be p(x) = p0 * (1 - k)^(t - x/r). However, the exponent varies on the formula adopted by the protocol:
https://github.com/code-423n4/2023-12-revolutionprotocol/blob/main/packages/revolution/src/libs/VRGDAC.sol#L85
https://github.com/code-423n4/2023-12-revolutionprotocol/blob/main/packages/revolution/src/MaxHeap.sol#L64-L65
https://github.com/code-423n4/2023-12-revolutionprotocol/blob/main/packages/revolution/src/CultureIndex.sol#L437-L438
