Math Mr. Mui Do Now Exponential growth and Classroom Lesson example

Today is Wed 4/22/2020 “C” Day    

Mr. Mui
DO NOW: exponential growth review

Review & example:    ert = e(20%)(7days) = e(0.20)(7) = 4.055
  • This means with a growth rate of 20%, in seven days, whatever you started with will be multiplied by more than FOUR!  
This is why “exponential growth” increases SO rapidly!!

Make sure you practice the above on your calculator or phone or computer, and try to get the SAME answer!


(today’s DoNow question):    Calculate  e(25%)(8days)   = _____  
Turn in your answer to get credit for attendance AND a grade!


note: if you do not have an “e” or ex button, use 2.718 for the approximate value of e

Notes: e^((.25)(8))= 7.38905609893

 LESSON: Wed 4/22C Covid-19 Exponential Growth Model
Andrew Mui
8:00 AM
Today is Wed 4/22/2020 “C” Day 
Mr. Mui
LESSON: Covid-19 Exponential Growth Model
This Lesson is VERY, VERY important. PLEASE read and do CAREFULLY and BY YOURSELF, so that you understand how the virus can spread so quickly!!

(SEE ATTACHED) 
Today is Wed 4/22/2020 “C” Day  
Mr. Mui
LESSON: Covid-19 Exponential Growth Model
Mr. Mui
On the Monday, 3/15/2020 (the week you started being quarantined at home), there were approximately 4000 confirmed Covid-19 cases in the U.S. (4000 infected people)
One exponential model of infection (growth) uses ert as the multiplier to calculate how many total cases would be present after x number of days.
For example, let’s use an infection (growth) rate of 20% for ONE week, or seven days:
   ert = e(20%)(7days) = e(0.20)(7) = 4.055  <<< IF PEOPLE DID NOT QUARANTINE, so the infection rate stayed high, at 20%, this means that the original 4000 cases would grow to  4000 * 4.055 = 16,200 cases after just seven days!  
*****This is why “exponential growth” increases SO rapidly!!*****
note: if you do not have an “e” or ex button, use 2.718 for the approximate value of e


(today’s questions):   Turn in your answers (a,b,c) to get a grade!
a) Calculate: Starting with 4000 cases, if there was no quarantine, and the infection rate continued to be 20%, how many total cases would there be after ONE month (30 days)?                                  
4000 * e(      )(      )   = ___________  

Notes:
4000*e^((.20)(30))= 1,613,715  (commas inserted) 


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