If 30 days of doublings are required for lily pads to cover a pond, on what day is the pond half covered?
There are various ways of solving this problem. We can use an exponential model to solve it. However, as seen below, this is not necessary as the problem can be solved by understanding the pattern involved.
Answer and Explanation:
The lilypads double each day. Whatever is the area covered yesterday, the area covered today is exactly double of it.
Now, if today the whole area of the pond is covered by lilypads, it means that yesterday half the area must have been covered.
We know that the entire area is covered in 30 days. So, half of the area must have been covered in 29 days.
Become a member and unlock all Study Answers
Try it risk-free for 30 daysTry it risk-free
Ask a question
Our experts can answer your tough homework and study questions.Ask a question Ask a question
Learn more about this topic:
from High School Algebra I: Help and ReviewChapter 6 / Lesson 10