Question

assume a general exponential growth/decay model. A certain population doubles every 15.75 years. How long will it take for it to triple?

Answer 1

a. 24.96 years
b. 23.625 years
c. 21.854 years
d. 25.15 years

Answer 2

\(2 = e^{15.75r}\)

=>

\(r = \frac{\ln2}{15.75}\) ---------(1)

since we need to find time it takes to triple :-

\(3 = e^{rt}\)

=>
\(t = \frac{\ln 3}{r}\)

substitute r value above and see what u get