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.

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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

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

Which best describes how to find the length of an arc in a circle?

Answer from: Quest

answer: the answer is b. i think hope i got it correct

step-by-step explanation:

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