Answer 8 The number of people in a community affected by the

Answer: 8) The number of people in a community affected by the flu t days after its outbreak is given by the tue number of people im a community affe e function: )-25.000 25,000 1+50e125 Find the number of people affected after: c) 45 days: a) 10 days:wauk -\')) b) 30 days: After how many days will: e) 24,000 people be affected: d) 1000 people be affected:

Solution

f(t) = 25,000/( 1 + 50e^(-0.125t)

a) t = 10 ; f(10) = 25000/( 1 + 50e^(-0.125*10) )

=1631.29 = 1631

t = 30 ; f(30) = 25000/( 1 + 50e^(-0.125*30 ) = 11494.25 = 11494

t = 45 days ; f(45) = 25000/( 1 + 50e^(-0.125*45)) = 21181.05 = 21181

b) 1000 people affected

1000 = 25,000/( 1 + 50e^(-0.125t)

solve for t : 1 + 50e^(-0.125t ) = 25

50e^(-.125t) = 24

t = 5.87 days

24,000 people affected

24000 = 25,000/( 1 + 50e^(-0.125t))

1 + 50e^(-0.125t) = 1.04167

t = 56.72 days