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If 30 days of doublings are required for lily pads to cover a pond, on what day is the pond half...

Question:

If 30 days of doublings are required for lily pads to cover a pond, on what day is the pond half covered?

Word Problem

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.


Learn more about this topic:

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Exponential Growth: Definition & Examples

from High School Algebra I: Help and Review

Chapter 6 / Lesson 10
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