Populations with a lower growth rate take a longer time to double because ln(1 + r) <<< ln2 hence the time required increases.
What is exponential growth?
The term exponential growth is defined by the exponential function;
P = Po(1 + r)^t
Where;
P = population at time t
Po = population initially present
r = rate of growth
t = time
If P = 2Po
2Po = Po(1 + r)^t
2 = (1 + r)^t
ln2 =tln1 + r
t = ln2/ln(1 + r)
Populations with a lower growth rate take a longer time to double because ln(1 + r) <<< ln2 hence the time required increases.
The only way to double the population in one year is to let it increase by 100% such that;
t =ln2/ln (1 + 1)
t =ln2/ln2
t = 1
Learn more about exponential growth:https://brainly.com/question/11487261
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