contestada

A flock of 200 birds were flying south for the winter. Every day, the amount of birds in the flock increased by an average of 4%.

The amount of birds in the flock, b, can be represented by an exponential function, where d represents the number of days since the 200 birds started. What is the equation of this exponential function?
b = 1.04 · 200d

Respuesta :

calculista

Answer:

[tex]b=200(1.04)^{d}[/tex]

Step-by-step explanation:

we know that

The exponential function is of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

In this problem we have

a=200 birds

b=100%+4%=104%=104/100=1.04

substitute

[tex]y=200(1.04)^{x}[/tex]

Let change of variables

[tex]b=200(1.04)^{d}[/tex]

where

b is the amount of birds in the flock

d is the number of days since the 200 birds started

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