Apopulation of 240 birds increases at a rate of 16% annually. jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. which values should she use for a and b?

Hence, the function function f(x) is given as:

f(x)=240×(1.16)^x

Step-by-step explanation:

It is given that:

A population of 240 birds increases at a rate of 16% annually.

i.e. the increase is at a rate of=16/100=0.16

This means that this model can be modeled with the help of an exponential function of the type:

f(x)=ab^x i.e. f(x) represents the number of birds after 'x' years.

where a is the initial population.

and b is the change in the population.

Here we have:

a=240

and b=1+0.16=1.16

Hence, the function function f(x) is given as:

f(x)=240×(1.16)^x

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )