Question

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

Answer 1

Answer:

$b=200(1.04)^{d}$

Step-by-step explanation:

we know that

The exponential function is of the form

$y=a(b)^{x}$

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

$y=200(1.04)^{x}$

Let change of variables

$b=200(1.04)^{d}$

where

b is the amount of birds in the flock

d is the number of days since the 200 birds started