2. On June 1, a fast-growing species of algae is accidentally introduced into a lake in a city park. The algae patch initially covers 0.002 square cm of the lake and doubles every day. If the algae continues to
grow uncontrolled at its current rate, the lake will be totally covered, and the fish in the lake will
suffocate. At the rate the algae is growing, this will happen on June 30.