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?

Step-by-step explanation:

General exponential function for growth or decay is,

Where,

a = initial value,

r = rate of change

+ is used for growth and - is used for decay.

As here, the number of birds increasing so, the exponential function is,

And initial value a = 240, r = rate of change = 16% = 0.16

Putting the values,

Comparing this with the given equation

Hence, a = 240, b = 1.16

The value of a is 240 and b is 1.16.

Step-by-step explanation:

Given,

The initial population of the birds = 240,

Annual rate of increasing = 16 %,

Hence, the population of birds after x years

We can put P = f(x), ( because, f(x) also shows the population of birds after x years )

--------(1)

According to the question,

--------(2),

From equation (1) and (2),

a = 240 and b = 1.16

1     sepan

2     encuentren

3     tenga

4     hable

5   parezca

6   llegue

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4