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.

Respuesta :

Answer:

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).

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