The only functions with a constant doubling time are the exponential functions y = P0ekt
Chapter 5, Problem 31(choose chapter or problem)
The only functions with a constant doubling time are the exponential functions y = P0ekt with k > 0. Show that the doubling time of linear function f (t) = at + b at time t0 is t0 + b/a (which increases with t0). Compute the doubling times of f (t) = 3t + 12 at t0 = 10 and t0 = 20.
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