Spread of a Disease The spread of a highly contagious virus in a high school can be described by thelogistic functiony = 5000/1 + 999e-0.8xwhere x is the number of days after the virus isidentified in the school and y is the total number ofpeople who are infected by the virus.a. Graph the function for 0 <= x <= 15.b. How many students had the virus when it was firstdiscovered?c. What is the upper limit of the number infected bythe virus during this period?
Spread of a Disease The spread of a highly contagious virus in a high school can be described by thelogistic functiony = 5000/1 + 999e-0.8xwhere x is the number of days after the virus isidentified in the school and y is the total number ofpeople who are infected by the virus.a. Graph the function for 0 <= x <= 15.b. How many students had the virus when it was firstdiscovered?c. What is the upper limit of the number infected bythe virus during this period?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.5: Exponential Functions
Problem 3GP
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Spread of a Disease The spread of a highly contagious virus in a high school can be described by the
logistic function
y = 5000/1 + 999e-0.8x
where x is the number of days after the virus is
identified in the school and y is the total number of
people who are infected by the virus.
a. Graph the function for 0 <= x <= 15.
b. How many students had the virus when it was first
discovered?
c. What is the upper limit of the number infected by
the virus during this period?
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