1. The problem statement, all variables and given/known data A cultured bacteria of a species multiplied at a rate that is directly proportional to the number of cultured bacteria in the culture. If x is the number of bacteria in the culture in time t seconds write down the differential equation that describes the growth of the bacteria. At the begining of the experiment, there were 1000 bacteria of a certain species. It was known that the cultured bacteria multiply at a rate of 1.5 times per hour. Find the number of bacteria in the culture after 3 hours. 2. Relevant equations 3. The attempt at a solution The differential equation is dx/dt=kx with solution x=1000e^(kt) It was known that the cultured bacteria multiply at a rate of 1.5 times per hour. What did this line imply? since in one hour it multiplied 1.5 times, then in 3 hours would be 4.5 times. Simply take 1000 multiplied by 4.5 to get the answer?