The number of earthquakes that occur worldwide is a decreasing exponential function of their magnitude on the Richter scale. Between 2000 and 2005, there were 7480 earthquakes of magnitude 5 and 793 earthquakes of magnitude 6. (Source: National Earthquake Information Center, U.S. Geological Survey)

1. Find a formula for the number of earthquakes, $N(m)\text{,}$ in terms of their magnitude.
   $N(m)=$
   Do not use any commas: For example, instead of “10,000” enter simply “10000”.
2. It is difficult to keep an accurate count of small earthquakes. Use your formula to estimate the number of magnitude 1 earthquakes that occurred between 2000 and 2005.
   How many earthquakes of magnitude 8 occurred?