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
Aleks [24]
3 years ago
14

The population of a small town in central Florida has shown a linear decline in the years 1992-2000. In 1992 the population was

48000 people. In 2000 it was 44880 people.
A) Write a linear equation expressing the population of the town P
P
in terms of t
t
, the number of years since 1992.
Answer: c

B) If the town is still experiencing a linear decline, what will the population be in 2003?
Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

  • P = -390t +48,000
  • P = 43,710 in 2003

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

You might be interested in
The scatter plot shows the relationship between pages read per week and age. What is the range of the cluster shown in the scatt
Katen [24]

Answer:

part 1 of the question is d ,and part 2 of the question is b.

8 0
2 years ago
Read 2 more answers
Find the inverse of the following function. Then prove they are inverses of one another.
solmaris [256]

Answer: \dfrac{x^2+1}{2}

Step-by-step explanation:

Given

f(x)=\sqrt{2x-1}

We can write it as

\Rightarrow y=\sqrt{2x-1}

Express x in terms of y

\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}

Replace y be x to get the inverse

\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}

To prove, it is inverse of f(x). f(f^{-1}(x))=x

\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x

So, they are inverse of each other.

8 0
3 years ago
Which word or phrase that best describes the probability??
Llana [10]
100% = Certain (no matter what.. it's going to happen)
75/100 = Likely (has a high chance of happening)
5/10 = Equally likely (can happen, or might not)
1/4 = Unlikely (might not happen)
0.0 = Impossible 

hope this helps
5 0
3 years ago
A box has dimensions of 11 inches long, 4.4 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol
xxMikexx [17]

Answer:

3484.8 in inches

Step-by-step explanation:

turn feet to inches and multiply all values


3 0
2 years ago
Read 2 more answers
4log, 11 – 20log 35
ANEK [815]

Answer:

  -26.71579

Step-by-step explanation:

Any scientific or graphing calculator can evaluate this expression for you.

4 0
3 years ago
Other questions:
  • Six years ago annabelle was twice as old as jason was. now, annabelle is four years older than jason. how old is jason now?
    5·1 answer
  • Please help!
    10·1 answer
  • Teo spins the spinner 120 times. He expects to land on one particular color 30 times. What color is it?
    14·1 answer
  • A paroxysm of laughter escaped a few. If the ratio of the laughers to the stolid was 2 to 17,and 7600 were in the throng, how ma
    6·1 answer
  • HELP ASAP!!!!!!!!!!!!!!!
    15·1 answer
  • How would you say the following time?<br> 22.7 seconds
    12·1 answer
  • The graphic shows the 108 students
    6·1 answer
  • Which of the following classifications best represents the triangle below
    11·1 answer
  • X-2y = 6<br> Зх — бу = 18<br> Solve using elimination
    11·1 answer
  • I need help please, i need the answer now!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!