represent the number of bacteria (measured in millions) at time t (measured in hours). This system can be modeled by the following updating function: bt+1 = 1.5bt Let b0 =7. Iterate the discrete time dynamical system for a few steps: b1 = _______ b2 = _______ b3 = _______ Write down a solution to the discrete-time dynamical system. Solution: b(t) = ______ Use your solution to compute the following: b(1) = _______ b(2) = _______ b(3) = _______ Do your answers agree with your iterations? (yes/no) _________

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