1. The problem statement, all variables and given/known data A bacteria culture starts with 840 bacteria and grows at a rate proportional to its size. After 3 hours there will be 2520 bacteria. How long will it take for the population to reach 1030 ? 2. The attempt at a solution dP/dt = k*P dP/P = k*dt *Integrated both sides ln |P| = k*t + C P = e^(k*t + C) *Used (0, 840) as initial values 840 = e^(k*0 + C) C = ln840 P = e^(k*t + ln840) P = 840e^(k*t) *Used (3, 2520) to solve for k P = 840e^(k*t) 2520 = 840e^(k*3) k = 0.366 *Solved t when P = 1030 P = 840e^(0.366*t) 1020 = 840e^(0.366*t) t = 0.557 I submit this as the answer on Webwork but it says the answer is wrong; can anyone explain to me why?