When a person swallows giardia cysts, stomach acids and pancreatic enzymes cause the cysts to release trophozoites, which divide every 12 hours.

a. Suppose the number of trophozoites at time = 0 is y0. Write a function giving the number after t hours

b. The article quoted above said that a single trophozoite can multiply to a million in just 10 days and a billion in 15 days. Verify this fact

Question

When a person swallows giardia cysts, stomach acids and pancreatic enzymes cause the cysts to release trophozoites, which divide every 12 hours.

a.  Suppose the number of trophozoites at time = 0 is y0.  Write a function giving the number after t hours

b.  The article quoted above said that a single trophozoite can multiply to a million in just 10 days and a billion in 15 days.  Verify this fact

anonymous · Answer

$$A(t)=2^{\frac{t}{12}}$$

anonymous · Answer

cool, thats what I thought it was for a...but now im stuck on b :(