Question

The integral form of the exponential growth equation is

• A. \(\frac{dN}{dt} = (b - d)N\)
• B. \(\frac{dN}{dt} = rN \left(\frac{K - N}{K}\right)\)
• C. \(\frac{dN}{dt} = rN\)
• D. \(N_t = N_0 e^{rt}\)

Hint:

The exponential growth equation is used to model populations growing at a constant rate without limiting factors.

Answer 1

The Correct Option is D

The integral form of the exponential growth equation is \(N_t = N_0 e^{rt}\), where \(N_t\) is the population at time \(t\), \(N_0\) is the initial population, \(r\) is the rate of growth, and \(t\) is time.