The exponential growth function for this scenario can be expressed as:
N(t) = N0 * e^(rt)
where:
- N(t) is the population size at time t
- N0 is the initial population size
- r is the exponential growth rate
- e is the mathematical constant e (approximately equal to 2.71828)
In this case, the initial population size is 700 and the exponential growth rate is 11.6% per day. To use this formula, we need to convert the percentage growth rate to a decimal growth rate by dividing by 100:
r = 11.6% / 100 = 0.116
Substituting the values into the formula, we get:
N(t) = 700 * e^(0.116t)
where t is the time in days. This is the exponential growth function for the population of rabbits under ideal conditions.