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Suppose the number of water lilies in pond doubles every day. If the pond was half-covered on Monday, when was it only one-forth covered with lilies? When would it be completely covered? Justify your answers.

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TaeKwonDoIsDead

Answer:

Sunday 1/4th covered

Tuesday full covered

Step-by-step explanation:

Every next day, the number DOUBLES

So, thinking backwards, every previous day, the number was HALF

Now,

Monday = 1/2 covered

Previous Day, Sunday it was HALF of THAT, so

Sunday = (1/2) * (1/2) = 1/4th covered

We need to know which day it was 1/4th covered, that would be just 1 day before, so in Sunday it was 1/4th covered.

Now,

Monday = 1/2 covered

So, next day, Tuesday, it will DOUBLE, so

Tuesday = 2 * (1/2) = 2/2 = 1

"1" means FULL COVERED

So, the very next day, it will be full covered, on TUESDAY

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