# Question #1b0f0

Jul 17, 2017

$6553600$

#### Explanation:

1st doubling$\to 100 \times 2$

2nd doubling$\to 100 \times 2 \times 2$

3rd doubling$\to 100 \times 2 \times 2 \times 2$

Let the count of hours be $n$

Then if it doubled every hour we would have:

$100 \times {2}^{n}$

However, it doubles every 15 minutes. There are 4 lots of 15 minutes in every hour so the calculation cycle is:

$100 \times {2}^{4 n}$

So for 4 yours we have:

$100 \times {2}^{4 \times 4} = 100 \times {2}^{16} = 6553600$