Use the exponential growth? model, A=A0e^kt?, to find the time it takes a population to multiply by seven ?(to grow from A0 to 7A0?).

Question

Exponential growth problems (Math 105)

Answer 1

7a₀ = a₀e^kt

7 = e^kt

ln 7 = ln e^kt

ln 7 = kt

1.94591 ≈ kt

 

A more precise time can be determined with the value of "k."