Something interesting to consider is what the compounding rate is of this exponential growth situation.
Let's imagine we had exponential growth at a steady rate of 10% a day. The spreadsheet being posted on this board starts with 4 cases. We would expect 10% more on day 2, so 4.4. Then 10% more an day 3, so 4.84. And so on.
What is the actual compounding rate? You take the total cases for a given day and divide by the starting number of cases, take the Nth root of that, and subtract 1. On the 10th day of recorded cases (so the count for day 11), there were 44 cases. What is the compound growth rate needed to get from 4 to 44 over 10 days? You take 44 divided by 4, which is 11. You take that to the power of .1 (because 10 days elapsed so we want to raise to the power of 1 over 10. That gives us 1.27. We then subtract 1. We are at .27, which means that over the first 10 days of this oubreak locally, cases grew at a rate of 27% per day.
What is interesting is that in general, the compound growth rate has steadily declined. The most recent compound growth rate is "only" 6 and a quarter percent. That's way less than 27%. Of course, it is still concerning, because something growing at 6 and a quarter percent every day gets really big really fast.
However, what the local health officials and others are not telling you is that the rate of infection in our local community is indeed slowing down.
Here are my full calculations from day 2 until today, which is day 103:
Mar 20 2020 0.5000
Mar 21 2020 0.5811
Mar 22 2020 0.4422
Mar 23 2020 0.3161
Mar 24 2020 0.3195
Mar 25 2020 0.3183
Mar 26 2020 0.3205
Mar 27 2020 0.2917
Mar 28 2020 0.2915
Mar 29 2020 0.2710
Mar 30 2020 0.2486
Mar 31 2020 0.2403
Apr 01 2020 0.2362
Apr 02 2020 0.2243
Apr 03 2020 0.2125
Apr 04 2020 0.2011
Apr 05 2020 0.2041
Apr 06 2020 0.1917
Apr 07 2020 0.1827
Apr 08 2020 0.1791
Apr 09 2020 0.1729
Apr 10 2020 0.1654
Apr 11 2020 0.1649
Apr 12 2020 0.1597
Apr 13 2020 0.1538
Apr 14 2020 0.1493
Apr 15 2020 0.1439
Apr 16 2020 0.1403
Apr 17 2020 0.1366
Apr 18 2020 0.1329
Apr 19 2020 0.1286
Apr 20 2020 0.1243
Apr 21 2020 0.1209
Apr 22 2020 0.1179
Apr 23 2020 0.1144
Apr 24 2020 0.1117
Apr 25 2020 0.1085
Apr 26 2020 0.1057
Apr 27 2020 0.1028
Apr 28 2020 0.1010
Apr 29 2020 0.0992
Apr 30 2020 0.0972
May 01 2020 0.0955
May 02 2020 0.0940
May 03 2020 0.0918
May 04 2020 0.0898
May 05 2020 0.0889
May 06 2020 0.0883
May 07 2020 0.0874
May 08 2020 0.0867
May 09 2020 0.0857
May 10 2020 0.0845
May 11 2020 0.0833
May 12 2020 0.0823
May 13 2020 0.0817
May 14 2020 0.0805
May 15 2020 0.0794
May 16 2020 0.0784
May 17 2020 0.0774
May 18 2020 0.0765
May 19 2020 0.0756
May 20 2020 0.0754
May 21 2020 0.0746
May 22 2020 0.0739
May 23 2020 0.0748
May 24 2020 0.0737
May 25 2020 0.0727
May 26 2020 0.0717
May 27 2020 0.0710
May 28 2020 0.0702
May 29 2020 0.0694
May 30 2020 0.0687
May 31 2020 0.0679
Jun 01 2020 0.0670
Jun 02 2020 0.0665
Jun 03 2020 0.0661
Jun 04 2020 0.0656
Jun 05 2020 0.0655
Jun 06 2020 0.0656
Jun 07 2020 0.0652
Jun 08 2020 0.0645
Jun 09 2020 0.0643
Jun 10 2020 0.0639
Jun 11 2020 0.0636
Jun 12 2020 0.0630
Jun 13 2020 0.0632
Jun 14 2020 0.0628
Jun 15 2020 0.0624
Jun 16 2020 0.0625
Jun 17 2020 0.0636
Jun 18 2020 0.0636
Jun 19 2020 0.0636
Jun 20 2020 0.0635
Jun 21 2020 0.0630
Jun 22 2020 0.0624
Jun 23 2020 0.0621
Jun 24 2020 0.0621
Jun 25 2020 0.0623
Jun 26 2020 0.0625
Jun 27 2020 0.0625
Jun 28 2020 0.0625
Jun 29 2020 0.0625
You could multiply the numbers on the right by 100 to see them as percents. What is interesting is that the rate is showing a pretty steady decline despite increased tests, despite reopening, despite bars, despite protests, and despite Memorial Day weekend.