Question

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

Answer 1

a = 249 and b = 1.16

Explanation:

Consider the provided information.

The exponential function for growth is:
`y=a(1+ r)^x`

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.

`y=249(1+0.16)^x`

`y=249(1.16)^x`

Now we will compare it with the exponential function form
`y=ab^x`

Therefore, a = 249 and b = 1.16