The population of the tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. using the exponential growth formula, y=〖b(1+r)〗^t, sketch the graph that represents the situation. label the axes, y-intercept and the point that represents the projected population in 2025.

The exponential model is .

Step-by-step explanation:

The exponential formula is

Where b is initial population, r is growth rate and t is time (in years).

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

Therefore the projected population in 2025 is 476479.

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

Given:

If the population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78% , then :

b = 382,627

r = 2.78% = 0,0278

The y-intercept is found when t = 0 , then:

The population in 2025 will be :

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

congruent segments

step-by-step explanation: