Question 816630
This is a rather extreme problem for a 5th grader, but i will do my best to help you out.
you want to start by making a sequence with maybe 5 or 6 numbers.
The sequence will correspond  with the number of minutes at each chime
1, 3, 7, 15, 31, 63 ...
Now you want to find a rule.  This really is a guess and check method.
For this sequence the equation is {{{2^n-1=m}}}
m is the number of minutes that have passed
n is the number of chimes.
Looking at the sequence 1, 3, 7, 15, 31, 63...
The first chime in the sequence n = 1
{{{2^1-1=1}}}
The second chime in the sequence n = 2
{{{2^2-1=3}}}
The third chime in the sequence n = 3
{{{2^3-1=7}}}
The fourth chime in the sequence n = 4
{{{2^4-1=15}}}
The fifth chime in the sequence n = 5
{{{2^5-1=31}}}
and so forth....



After the first minute, there is 1 chime.  After 3 minutes, there are 2 chimes.  After 7 minutes, there are 3 chimes.


Now to solve this equation.  30 days needs to be converted into minutes.
30 days equals 43,200 minutes.  We are looking for n so we will use this equation.


{{{2^n-1=43200}}}
{{{2^n=43201}}}
Now you want to use logarithms on each side.
{{{log(2^n)=log(43201)}}}
{{{n*log(2)=log(43201)}}}
{{{n=(log(43201)/log(2))}}}
{{{n=15.398}}}
The bell will chime 15 times in 30 days.