the carrying capacity for a population is estimated at 500. the population size is currently 400 and r max is 0.01. what is dN/df?
To find dN/df, which represents the change in population (dN) with respect to time (df), we can use the exponential population growth formula:
dN/df = r * N
where:
- dN/df: Change in population size over time
- r: Maximum per capita growth rate
- N: Population size
Given that the maximum per capita growth rate (r max) is 0.01 and the current population size (N) is 400, we can substitute these values into the formula:
dN/df = 0.01 * 400
Calculating the expression:
dN/df = 4
Therefore, the value of dN/df is 4, indicating that the population is increasing by 4 individuals per unit of time.