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
erastovalidia [21]
3 years ago
7

In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

model that shows the number of readers, r, of the magazine t years after 2000.
Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000

And then we can use for example the first point (t_1, r_1) = (4, 1000000) to find the intercept:

1000000= 100000*4 + b

b=600000

So then the linear model for this case should be:

r = 100000 t + 600000

Step-by-step explanation:

For this case we want to find a linear model given by:

r =mt+b

Where r = represent the number of readers , t= years after 2000

m = the slope for the model and b the intercept

For this case we can define the following points from the data given:

(t_1, r_1) = (4, 1000000) 4 years after 2000

(t_2, r_2) = (14, 2000000) 14 years after 2000

We can find the slope with the following formula:

m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000

And then we can use for example the first point (t_1, r_1) = (4, 1000000) to find the intercept:

1000000= 100000*4 + b

b=600000

So then the linear model for this case should be:

r = 100000 t + 600000

You might be interested in
Write an equation in slope-intercept form for the line with slope 8 and y-intercept -8.​
Fofino [41]

Answer:

y = 8x - 8

Step-by-step explanation:

y = mx + b is slope-intercept form

m - slope

b - y-intercept

so if you plug in 8 for m and -8 for b you'll get

y = 8(m)x - 8(b)

Hope this helps!!

6 0
3 years ago
2.2.PS-8 Find the value of x when 6 - 4x = 6x - 8x + 8. The value of x is​
Bess [88]

Answer:

X = -1

Step-by-step explanation:

6 - 4x = 6x - 8x + 8

-6.                      -6

-4x = -2x + 2

+2x.   +2x

-2x = 2

divide both sides by -2

x = -1

6 0
2 years ago
Which is the slope of the line that passes through the points (-5,6) and (-3,2)?
vitfil [10]

The slope of the line passes through the points (-5,6) and (-3,2) is 2.

<h3>What is a slope?</h3>

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that the line that passes through the points (-5,6) and (-3,2).

The slope of the line is calculated by the formula,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 6 - 2) / ( -3 + 5)

Slope = 4 / 2

Slope = 2

Therefore, the slope of the line passes through the points (-5,6) and (-3,2) is 2.

To know more about slopes follow

brainly.com/question/3493733

#SPJ1

7 0
1 year ago
Katherine needs to cut a piece of cardboard for an art project at school. She has four pieces of cardboard that she can cut from
Rasek [7]
Cut five inches to creat the least amount of unused cardboard.
3 0
3 years ago
Pie graphs should be used when the data is represented as a percentage.<br><br><br> True<br> False
horrorfan [7]

Answer: True

Hope this helps!

3 0
3 years ago
Other questions:
  • What is six tenths in decimal form?
    13·2 answers
  • I need help on this question plz
    6·2 answers
  • Find the measure of the arc or angle indicated
    7·1 answer
  • What does 21/8= as a mixed number?
    14·2 answers
  • Need help asap!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • How does recipe conversion factors work? For example, if I have a soup that is originally 24 servings and has 16 oz of fish, and
    9·1 answer
  • Factor this polynomial completely x^2-10x+25
    14·2 answers
  • Which purchase may people be required to save a small amount of money invested regularly that grows over time?
    9·2 answers
  • Evaluate the following<br> average rate of change of<br> f from x=0 to x=4 is ?
    7·1 answer
  • 3. The school library has 475 books.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!