The spread of a highly contagious virus in a high school can

The spread of a highly contagious virus in a high school can be described by the logistic function y = 7200 / 1+799e^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.

(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?

Solution

y = 7200 / (1+799e^0.8x)

where x is the number of days after the virus is identified in the school

b) when it was discovered means x=0

So, y = 7200/(1+799) = 7200/800 = 9 people were infected

c) Upper limit of infected people would occured when x ----> infinity

So, y = 7200/( 1+799*0) ( e^-infinity =0)

= 7200 peoples got infected