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 t = 0 is y0. Write a function in the form y = y₀e^kt giving the number after t hours.
(b) Write the function from part (a) in the form y = y₀2ƒ^(t).
(c) The article cited above said that a single trophozoite can multiply to a million in just 10 days and a billion in 15 days. Verify this fact.