Consider the following (actual real-world) data of total cumulative coronavirus cases diagnosed in the United States by the following days: Sunday, 3/15 -- 3613 Monday, 3/16 -- 4596 Tuesday, 3/17 -- 6344 Wednesday, 3/18 -- 9197 Thursday, 3/19 -- 13779 Friday, 3/20 -- 19367 Saturday, 3/21 - 24192 Sunday, 3/22 - 33592(a) Does this data suggest exponential growth in the total number of cases diagnosed as function of the number of days that have elapsed? Explain how you would use the data to support your conclusion. (b) Let P(t) denote the total number of people in the US who have tested positive for the coronavirus on or before t days after March 15. Let P0=3613, the total number of people in the US who had tested positive for coronavirus by March 15. Then if we use an exponential growth model, P(t)=P0ekt, how would you use the above data to estimate the value of k? (c) Based on this data alone , how many total coronavirus cases would you expect to be diagnosed in the United States by April 15, 31 days after March 15?
Consider the following (actual real-world) data of total cumulative coronavirus cases diagnosed in the United States by the following days:
Sunday, 3/15 -- 3613
Monday, 3/16 -- 4596
Tuesday, 3/17 -- 6344
Wednesday, 3/18 -- 9197
Thursday, 3/19 -- 13779
Friday, 3/20 -- 19367
Saturday, 3/21 - 24192
Sunday, 3/22 - 33592
(a) Does this data suggest exponential growth in the total number of cases diagnosed as function of the number of days that have elapsed? Explain how you would use the data to support your conclusion.
(b) Let P(t) denote the total number of people in the US who have tested positive for the coronavirus on or before t days after March 15. Let P0=3613, the total number of people in the US who had tested positive for coronavirus by March 15. Then if we use an exponential growth model, P(t)=P0ekt, how would you use the above data to estimate the value of k?
(c) Based on this data alone , how many total coronavirus cases would you expect to be diagnosed in the United States by April 15, 31 days after March 15?
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