Mui. Pre-CalculusB1/2 Due 2:30 PM DO NOW:Thur 4/23A or Fri 4/24B: Times increase (Covid-19 cases)Mr. Mui+ Lesson
Mui. Pre-CalculusB1/2
Due 2:30 PM
DO NOW:Thur 4/23A or Fri 4/24B: Times increase (Covid-19 cases)Mr. Mui 8:07 AM
Mr. Mui
DO NOW: Times increase (Covid-19 cases)
In Wednesday’s work, you were told that at the start of the quarantine/stay-at-home period there were approximately 4000 Covid-19 cases in the U.S.
Google or search how many TOTAL Covid-19 cases have been reported in the U.S. so far.
Calculate how many times has the 4000 cases increased by since we started Distance Learning (hint: divide the current number by the previous one). Show your set-up or work below, along with your final answer:
Work & Final Answer:_________________________________
note: this is what the original 4000 cases got multiplied by already!!!! WOW. Scary!
What website or source did you find the latest U.S. Covid-19 case total?__________________________________
Today is Thur 4/23 A or Fri 4/24 B Day
Mr. Mui
LESSON: CALCULATOR REVIEW, ert
MANY of you are still having trouble using your calculator/phone/computer to calculate ert. Many of you did not practice the keystrokes necessary to get the answer in the example given, so when you did the new problems, you got it incorrect. YOU MUST LEARN this in order to do these problems on future quizzes/tests and on the FINAL!
TODAY: watch at least one of the following ert video tutorials on how to calculate ert on your calculator or device and then PRACTICE with the numbers from the last lesson (see below for easy reference).
VIDEOS to watch and use to practice ert:
PREVIOUS LESSON BELOW FOR REFERENCE and PRACTICE:
Covid-19 Exponential Growth Model
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( )( ) = ___________
b) Calculate: Starting with 4000 cases, IF THERE IS A QUARANTINE, and the infection rate GOES DOWN to 15%, how many total cases would there be now after ONE month (30 days)?
4000 * e( )( ) = ___________
c) How many potential lives were saved because of the quarantine and by reducing the infection rate from 20% down to 15%? (hint: use your answers to a and b)
IF you want to learn more about the above Covid-19 infection model, go check out this website:
“How Fast Does a Virus Spread? Let’s Do the Math
Infectious diseases grow exponentially, not linearly. The number of cases seems small—until they're not, and then it's too late.”
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