Question

A certain type of wter lily spreads to double the area it covers every year ten yes after being planted in our lake those water lilies cover a quarter of it's surface how many more years will it be before they cover the entire surface of the lake? Plz explain I don't get this at all

Answer 1

Every year, the area of the lilies double. So say one year, they cover 1 square metre. The following year, they cover double that area: 2 square metres. The next year, they cover double that: 4 square metres... The progression goes:
1
2
4
8
16
32
...
\[n^{\text{years passed}}\]
So if you're starting with an area of \(\frac{1}{4}\), what will be the area the following year?

Answer 2

um 1/5

Answer 3

1/5 is unfortunately not double 1/4. Maybe if I write it in equation form:
\[2 \times \frac{1}{4}=?\]

Answer 4

That's what you get when you add them, not when you multiply them.

Answer 5

When you multiply 2\(\times\)3, what you're saying is "Add 3 twice", or "3+3". So when you say \(2 \times \frac{1}{4}\), what you mean is "Add \frac{1}{4} twice", or "\(\frac{1}{4}+\frac{1}{4}\)"
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