To calculate the size of the next generation of a population undergoing exponential growth, we can use the following formula:
Nt = N0 * e^(rt)
where:
- Nt is the size of the population at some future time t
- N0 is the initial size of the population
- e is the mathematical constant approximately equal to 2.71828
- r is the growth rate of the population (expressed as a decimal)
Substituting the values given, we get:
Nt = 700 * e^(0.014)
Nt ≈ 710.4
Rounding to the nearest whole number, we get:
Nt ≈ 710
Therefore, the size of the next generation of this population is estimated to be approximately 710 individuals, assuming exponential growth at a rate of 1.4%.