A population of protozoa develops with a constant relative growth rate of 0.4416 per member per day. On day zero the population consists of three members. Find the population size after eight days.

The population size is 55.9597 (≅ 56)

Step-by-step explanation:

Since the population of protozoa develops at a constant growth rate of 0.4416 per member per day.

Then;

Day 0 = 3

Day 1 = 3 + (3 x 0.4416) = 4.3248

Day 2 = 4.3248 + (4.3248 x 0.4416) = 6.2346

Day 3 = 6.2346 + (6.2346 x 0.4416) = 8.9878

Day 4 = 8.9878 + (8.9878 x 0.4416) = 12.9568

Day 5 = 12.9568 + (12.9568 x 0.4416) = 18.6785

Day 6 = 18.6785 + (18.6785 x 0.4416) = 26.9269

Day 7 = 26.9269 + (26.9269 x 0.4416) = 38.8178

Day 8 = 38.8178 + (38.8178 x 0.4416) = 55.9597

After eight days, the population size would be 55.9597 (≅ 56).