Explanation:
N_t = N_0 * (1 + r)^t
Where:
N_t is the population size after t days.
N_0 is the initial population size (day zero).
r is the constant relative growth rate per member per day.
t is the number of days.
In this case:
N_0 = 4 (initial population size on day zero)
r = 0.9151 (constant relative growth rate per member per day)
t = 5 (number of days)
Now, plug these values into the formula and calculate N_5:
N_5 = 4 * (1 + 0.9151)^5
Let's calculate it:
N_5 = 4 * (1.9151)^5
N_5 ≈ 4 * 5.4508
N_5 ≈ 21.8032
Rounding to the nearest whole number, the population size after five days is approximately 22 members.