Mathematics, 30.06.2019 01:00 jesicaagan

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.

Answers: 1

Show answers

Answers

Answer from: lorenialopez1234

The exponential model is y=382627(1.0278)^t .

Step-by-step explanation:

The exponential formula is

y=b(1+r)^t

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%.

y=382627(1+0.0278)^t

y=382627(1.0278)^t

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

y=382627(1.0278)^8

$y=476479.828188\approx 476479$

Therefore the projected population in 2025 is 476479.

The population of the tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rat

Answer from: toshahoskins0098

The graph is shown in the attachment.Further explanation

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 :

Linear Function → f(x) = ax + bQuadratic Function → f(x) = ax² + bx + cTrigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan xLogarithmic function → f(x) = ln xPolynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

$\texttt{ }$

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

Let us now tackle the problem!

$\texttt{ }$

A graph of exponential function has the general form:

$\boxed {f(x) = a (b)^x}$

Given:

y = b ( 1 + r )^t

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

y = b ( 1 + r )^t

y = 382,627 ( 1 + 0,0278 )^t

$\texttt{ }$

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

y = 382,627 ( 1 + 0,0278 )^t

y = 382,627 ( 1 + 0,0278 )^0

y = 382,627

$\texttt{ }$

The population in 2025 will be :

y = 382,627 ( 1 + 0,0278 )^t

$y = 382,627 ( 1 + 0,0278 )^{ 2025 - 2017 }$

$y = 382,627 ( 1 + 0,0278 )^{ 8 }$

$y = 382,627 ( 1,0278 )^{ 8 }$

$y \approx 476480$

$\texttt{ }$

Learn moreInverse of Function : Rate of Change : Graph of Function : Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

Answer from: Quest

i'm not sure i quite understand, could you provide more information?

Answer from: Quest

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

Another question on Mathematics

Mathematics, 21.06.2019 18:00

The given dot plot represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september. if the dot plot is converted to a box plot, the first quartile would be drawn at __ , and the third quartile would be drawn at link to the chart is here

Answers: 1

Answer

Mathematics, 22.06.2019 00:20

❤️ (geometry) does the construction demonstrate how to copy an angle correctly using technology a) yes; the distance between points a and f was used to create circle h b) yes; the distance between points f and g was used to create circle h c)no; the distance between points a and f was used to create circle h d) no; the distance between points f and g was used to create circle h

Answers: 2

Answer

Mathematics, 22.06.2019 04:30

Consider kite fghj. what are the values of a and b? a = 14, b = 6 a = 14, b = 8 a = 17, b = 6 a = 17, b = 8

Answers: 2

Answer

Mathematics, 22.06.2019 06:30

Lines b and c are parallel. what is the measure of angle 6? m6 = 45° m6 = 54° m6 = 117° m6 = 126°

Answers: 3

Answer

You know the right answer?

The population of the tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rat...