1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Taya2010 [7]
2 years ago
7

g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this t

rend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?
Mathematics
1 answer:
german2 years ago
3 0

Answer:

a) P(t) = 11500 + 425t

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

P(t) = P(0) + at

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

a = \frac{1700}{4} = 425

So

P(t) = P(0) + 425t

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that P(5) = 13625. So

P(t) = P(0) + 425t

13625 = P(0) + 425*5

P(0) = 13625 - 425*5

P(0) = 11500

So

P(t) = 11500 + 425t

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

P(15) = 11500 + 425*15 = 17875

17,875 people.

You might be interested in
A garden is designed in the shape of a rhombus formed
Usimov [2.4K]

Answer:

120ft.

Step-by-step explanation:

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.

4 0
2 years ago
Which ordered pair is a solution of the equation y=4x+9
Maru [420]
What are the ordered pairs
3 0
3 years ago
Answer Is not C<br>please help​
Katyanochek1 [597]

Answer:

B

Step-by-step explanation:

Well since it is arthimetic sequence we know the formula

We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

a_{n}= a _{1}+ d (n-1) \\a_{n}= -12+7(n-1)\\a_{n} = -12+7n-7\\a_{n}= 7n-19

the domain of this is 1,2,3,4.......

range is -12,-5,2,9.......

Therefore answer is B.

5 0
3 years ago
Pi is the ratio of _____ to ______
Marina CMI [18]

The answer is D. C ÷ d = π, where C is circumference and d is diameter.

7 0
3 years ago
Read 2 more answers
On a 10-item test, three students in Professor Hsin's advanced chemistry seminar received scores of 2, 5, and 8, respectively. F
Inessa [10]

Answer:

For this distribution of test scores, the standard deviation is equal to the square root of 9

D) 9

Step-by-step explanation:

We need to know the standard deviation formula:

S=\sqrt{\frac{sum(x-Am)^2}{n-1} } (1)

Where:

S: Standard deviation

sum: Summation

x: Sample values

Am: Arithmetic mean

n:   Number of terms, in this case 3

Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8

Am=\frac{2+5+8}{3} = 5

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.

(x-Am)^2 of each term:

(2-5)^2=9\\(5-5)^2=0\\(8-5)^2=9

Now, we can find the standard deviation:

S=\sqrt{\frac{9+0+9}{3-1} } \\S=\sqrt{\frac{18}{2} } \\S=\sqrt{9}

The standard deviation is equal to the square root of 9

4 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the algebraic question 3(2x+5)-4
    6·1 answer
  • (Giving Branliest)
    10·2 answers
  • Sebastian solved the radical equation y + 1 = but did not check his solution. (y + 1)2 = y2 + 2y + 1 = –2y – 3 y2 + 4y + 4 = 0 (
    12·1 answer
  • 90 POINTS!!!!! Given: KLIJ inscr. in k(O),m∠K = 64°, measure of arc LI = 69°, measure of arc IJ = 59°, measure of arc KJ =97°
    14·1 answer
  • Chris has a 3.5 feet long board of wood. he cuts out 4 pieces that are each 2/3 foot long.
    5·1 answer
  • Graph the line using a point and a slope. Write the equation of each line.
    14·1 answer
  • The ratio of the measures of the three angles is 4:5:6. Find the measure of each angle of the triangle
    7·1 answer
  • 4 out of 65 propale who visit the store will receive a free DVD . If 455 people visit the store how many DVDs were given away
    5·1 answer
  • Find the area and perimeter of the original planned patio and the new planned patio? help me please​
    9·1 answer
  • I need help quickly, I'm preparing for a test! Help is appreciated!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!