A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to represent the number of birds after x years. Which values should she use for a and b

Respuesta :

Answer:

a = 249 and b = 1.16

Step-by-step explanation:

Consider the provided information.

The exponential function for growth is:  [tex]y=a(1+ r)^x[/tex]

Here, a is the initial value and r is the rate of change.

It is given that the number of birds is 249.

It means a = 249

The rate is given 16%

r=0.16

Put the value of a and r in the above formula.

[tex]y=249(1+0.16)^x[/tex]

[tex]y=249(1.16)^x[/tex]

Now we will compare it with the exponential function form [tex]y=ab^x[/tex]

Therefore, a = 249 and b = 1.16