Question
Use the exponential growth model, $A=A_{0} e^{k t},$ to show that the time it takes a population to triple (to grow from $A_{0}$ to 3$A_{0}$ ) is given by $t=\frac{\ln 3}{k}$
Step 1
Step 1: We start with the exponential growth model, $A=A_{0} e^{k t}$. Show more…
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Use the exponential growth model, $A=A_{0} e^{k t},$ to show that the time it takes a population to triple (to grow from $\left.A_{0} \text { to } 3 A_{0}\right)$ is given by $t=\frac{\ln 3}{k}$
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Use the exponential growth model, $A=A_{0} e^{k t}$, to show that the time it takes a population to double (to grow from $A_{0}$ to $\left.2 A_{0}\right)$ is given by $t=\frac{\ln 2}{k}$
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