SOLUTION: Please help me with this word problem. The number of students infected with the flu on a college campus after t days is modeled by the function P(t)=240/(1+39e^0.3t .When will t

Question 813672: Please help me with this word problem.
The number of students infected with the flu on a college campus after t days is modeled by the function P(t)=240/(1+39e^0.3t .When will the number of infected students be 120?
a) about 16 days
b) about 8 days
c) about 12 days
d) about 14 days
Thank you.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
P(t)=240/(1+39e^0.3t)
It's hardly a "word problem" when you're given the equation.
240/(1+39e^0.3t) = 120
240/120 = (1+39e^0.3t)
1+39e^0.3t = 2
39e^0.3t = 1
e^0.3t = 1/39
ln(e^0.3t) = ln(1/39)
0.3t = ln(1/39)
t = ln(1/39)/0.3
t =~ -12.212
Doesn't seem right, does it?
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