The percentage y of consulted books in a library specialized in literature about areonautics is modelled by the formula y = 100-Ae¯at Given that 1% of the books were consulted at the opening of the library, and 50% after 1 year, (a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of consulted books after 5 years, (c) predict the percentage of consulted books in the long run.
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the percentage y of consulted books in a library specialized in literature about aeronautics is modelled by the formula
y =100- Ae^(-at).
given that 1% of the books were consulted at the opening of the library, and 50% after 1 year,
a) find the value of A and a, correct to 3 decimal places,
b) predict the percentage of consulted books after 5 years,
c) predict the percentage of consulted books in the long run.
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