AP Precalculus Quiz
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
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A town tracks new streaming-service subscribers each month for one year. Model 1: Exponential, S(t)=120(1.18)tS(t)=120(1.18)^t, uses base 1.181.18 to represent steady 18% monthly growth. Model 2: Logarithmic, S(t)=80+140log⁡(0.6t+1)S(t)=80+140\log(0.6t+1), uses coefficient 140140 to reflect early buzz that slows as the market fills. By month 10, the actual totals rise only a few subscribers per month, not dozens. Based on the models described in the passage, which model best predicts long-term behavior in the context described?
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