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A company begins a radio advertising campaign in Chicago to market a new soft drink. The percentage of the target market that buys a soft drink is estimated by the function f(t)=100(1-e^-0.01t), where t is the number of days of the campaign. After how long will 80% of the target market have bought the soft drink?

  • math -

    .8 = 1 - e^-.01t

    -.2 = -e^-.01 t

    ln .2 = -.01 t

    t = -(ln .2)/.01 = 161

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