Question

Professor Vinculum investigated the migration season of the Bulbul bird from their natural wetlands to a warmer climate. He found that during the migration season their population, could be modelled by -. =1350+400(1. 25) ,≥0,whereisthenumberofdayssincethestartof the migration season. Find the population of the Bulbul birds at the start of the migration season

Answer 1

The population of the Bulbul birds at the start of the migration season is 1800.

Exponential function

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Let P be the population of the bird t days since the start of the migration season.

$P=1350+400(1.25)^{-t}\\\\At\ the\ start\ of\ the\ season(t=0):\\\\P=1350+400(1.25)^{-0}\\\\P=1350+450=1800$

The population of the Bulbul birds at the start of the migration season is 1800.

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