To calculate: The number of days after which, 250 students are infected by flu virus in the college campus containing 5000 students. If one student re

Elleanor Mckenzie 2020-11-08 Answered
To calculate: The number of days after which, 250 students are infected by flu virus in the college campus containing 5000 students. If one student returns from vacation with contagious and long- lasting flu virus and spread of flu virus is modeled by y=50001+4999e0.8t,t0.
Where, yis the total number of students infected after days.
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Expert Answer

sovienesY
Answered 2020-11-09 Author has 89 answers
Calculation:
Algebraic solution
Consider the model equation to represent the spread of flu virus,
y=50001+4999e0.8t,t0
Where, y is the total number of students infected after days.
Now, calculate the number of days after which 250 students are infected.
Put y=250 in the model equation.
250=50001+4999e0.8t
Divide by 250 and multiply by 1+4999e0.8t each side.
1+4999e0.8t=5000250
1+4999e0.8t=20
Subtract 1 from each side.
4999e0.8t=19
Divide by 4999 as,
e0.8t=194999
Take natural logarithm each side as,
lne0.8t=ln(194999)
By inverse property,
0.8teq5.5726
Divide each side by -0.8 as,
teq5.57260.8
eq6.96575eq7
Thus, after about 7 days, 250 students are infected.
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Jeffrey Jordon
Answered 2021-11-03 Author has 2064 answers

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