Two-phase growth: for a while the user base barely moves (the slow handle), then at the inflection point it goes viral and climbs in a straight, steep line (the blade). You set how many new users arrive each month before and after the kink — that is what makes the curve bend, then rise linearly. The horizontal axis is time (months).
U(t) = U(t-1) + (t ≤ T ? slow : viral) · Net ARPU: ad/user + 0.7·IAP/userR(t) = ARPU·U(t) · Cashflow: π(t) = R(t) − fixed − adSpend · Blade slope: ARPU·viral