SOLUTION: The spread of hoof and mouth disease through a herd of cattle can be modeled using a Malthusian model with a growth rate of 27% per day. If there are currently 4 cases, how many da

Question 1010448: The spread of hoof and mouth disease through a herd of cattle can be modeled using a Malthusian model with a growth rate of 27% per day. If there are currently 4 cases, how many days will it take until there are 20 cows infected? Setup an equation and solve, Label your answer and round to the nearest day. Show step by step.
Thanks in advance!
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We set it up this way
A(t) = Ao * (1 + r)^t
and plugging in we get
20 = 4(1+.27)^t
Now divide by 4 and get
5 = 1.27^t
Take the log of both sides and use the power rule and get
log 5 = t * log(1.27)
Now divide by log(1.27) and get
t = log 5 / log 1.27 = 6.73 days rounded to
7 days

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