Question 3

Exponential Modeling (Decay)

So Shinobi found the treasure and started to think about how much the village would prosper. He thought about how the population would now increase because of the wealth that the treasure brought to the village. From old village records, Shinobi remembers that the year he was born, 17 years ago, the population was 472. Presently, the population is 609. Shinobi wonders how long it would take for the population to reach 851.

a) Use an exponential function to model the population growth.
b) How long would it take for the population to reach 851?



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