At a temperature of 20 degree C the common amoeba reproduces by splitting in half every 24 hours. If we start with a single amoeba how many... will there be after (a) 8 days, (b) 16 days?
As long as there are sufficient nutrients, the amoeba will grow exponentially, splitting in two every 24 hrs. The equation for exponential growth is x = P B^(t/T), where P is the initial population, B is the factor by which a single elements grow, and T is the time period.
x = 1*2^(t/24)
So a) x = 2^8 = 256 amoeba
b) x = 2^16 = 65536 amoeba
check Approved by eNotes Editorial