Question

Revisiting Exponential Growth

At time t = 0 a population has size 1000. Suppose it grows
exponentially, so that at

time t (years) it has size S(t) = 1000a

t

for some a and all t > 0.

a) Suppose that it doubles in size every 8 years. What is a?

b) After how many years is the population 32 000?

c) What is its instantaneous growth rate (individuals per year) at
t = 10?

d) What is its instantaneous per capita growth rate at t =
10?

e) What is its instantaneous percentage growth rate at t = 10?

Answer #1

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