3) On May 2, a fast-growing species of algae is accidentally introduced into a lake in a city park. It starts to grow and cover the surface of the lake in such a way that the area covered by the algae doubles
every day. If it continues to grow unabated, the lake will be totally covered and the fish in the lake will
suffocate. At the rate it is growing, this will happen on May 31. Write an equation that represents the
percentage of the surface area of the lake that is covered in algae as a function of time (in days) that
passes since the algae was introduced into the lake.
A) P(t) = (1.86 x 10-7) 2t
B) P(t) = (9.31 x 10-8) 2t
C) P(t) = (1.86 x 107) (0.5) t
D) P(+) = (9.31 × 10-8) (0.5) t
E) None of the above