How would your answers differ if the discrete-time dynamical system were bt+1 = 5bt? Would the tolerances

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How would your answers differ if the discrete-time dynamical system were bt+1 = 5bt? Would the tolerances be larger or smaller? Why?
Suppose a population of bacteria follows the discrete-time dynamical system
bt+1 = 2.0bt
and we wish to have a population within 1.0 x 108 of 1.0 x 109 at t = 10.
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