TV News Ratings 2-18. Dependent Variable Given Ratio Independent Variable.
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Transcript of TV News Ratings 2-18. Dependent Variable Given Ratio Independent Variable.
![Page 1: TV News Ratings 2-18. Dependent Variable Given Ratio Independent Variable.](https://reader033.fdocuments.net/reader033/viewer/2022061305/55140ebc550346e7488b4f41/html5/thumbnails/1.jpg)
TV News Ratings
2 out of every 5 people who watch the
news, watch Channel 11 News @ 6:00.
# of people who watch the Channel 11 News @ 6:00 2
# of people who watch the news 5
Let The # of people who watch the Channel 11 News @ 6:00N Let The total # of people who watch the newsT
2
5
2
5
NT NTT
T
11
2-18
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1. Approximately how many people watch Channel 11,
if the total number of people who watch the news is:
(a) 10 people
(b) 1,000 people
(c) 10,000 people
In a complete sentence, explain how you found these answers.
4400
4000
2
5N T
The number of people who watch the Channel
11 News @ 6:00 is two-fifths times the total number
of people who watch the news.
N
T
Let The # of people who watch the Channel 11 News @ 6:00N Let The total # of people who watch the newsT
![Page 3: TV News Ratings 2-18. Dependent Variable Given Ratio Independent Variable.](https://reader033.fdocuments.net/reader033/viewer/2022061305/55140ebc550346e7488b4f41/html5/thumbnails/3.jpg)
:Verbal Model
The number of people
who watch the Channel
11 News @ 6:00
N
2
5 The total number of people
who watch the news
T
The number of people who watch the Channel
11 News @ 6:00 is two-fifths times the total number
of people who watch the news.
N
T
Algebraic Model:
2
5N TDependent
Variable
Given Ratio
Independent Variable
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2. Approximately how many people watch any news,
if the number of people who watch Channel 11 news is:
(a) 20 people
(b) 200 people
(c) 20,000 people
In a complete sentence, explain how you found these answers.
50500
50,000
5 5 2
2 2 5N T
5
2T N
The total number of people who watch the news
is five-halves of the number of people who
watch the Channel 11 News @ 6:00.
T
N
Let The # of people who watch the Channel 11 News @ 6:00N Let The total # of people who watch the newsT
![Page 5: TV News Ratings 2-18. Dependent Variable Given Ratio Independent Variable.](https://reader033.fdocuments.net/reader033/viewer/2022061305/55140ebc550346e7488b4f41/html5/thumbnails/5.jpg)
:Verbal Model
The number of people
who watch the Channel
11 News @ 6:00
N
5
2 The total number of people
who watch the news
T
Algebraic Model:
5
2T NDependent
Variable
New Ratio
Independent Variable
The total number of people who watch the news
is five-halves of the number of people who
watch the Channel 11 News @ 6:00.
T
N
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3. Let represent the total number of people who watch
any news at 6:00. Write an equation for , the number of
people who watch the Channel 11 News at 6:00.
T
N
2
5N T
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4. Use the information you have developed so far
to clearly redefine the problem situation.
TV News RatingsTV News Ratings
#8
2
5N T
The number of people
who watch the Channel
11 News @ 6:00
N
2
5 The total number of people
who watch the news
T
![Page 8: TV News Ratings 2-18. Dependent Variable Given Ratio Independent Variable.](https://reader033.fdocuments.net/reader033/viewer/2022061305/55140ebc550346e7488b4f41/html5/thumbnails/8.jpg)
Graph
5. Create a table of values for this situation
and include the expression.
Total number of people who watch the news at 6:00
The number of people who watch the Channel 11 News at 6:00
People People
T 2/5*T
1000 400
10,000 4000
100,000 40,000
150,000 60,000
300,000 120,000
Labels
Units
Expression
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6. Plot the points from the data table, making sure to label your axes
appropriately and using an appropriate scale for each axis.
T 0 500,000 25,000
N=2/5T 0 150,000 10,000
Variable Quantity Lower Bound Upper Bound Interval
Total # of people who watch the news at 6:00 (T)# w
ho w
atch
the
Cha
nnel
11
New
s at
6:0
0
(
N)
25k
10kTable
#7
#9
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7. What are the variable quantities in the problem situation?
Include the units that measure these quantities.
TV News Ratings
Total # of people who watch the news at 6:00 (T)
# of people who watch the Channel 11 News at 6:00 (N)
Graph
11
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8. What is the common ratio in the problem situation?
TV News Ratings
Graph
Verbal Model
2
5
11
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9. Of the two variable quantities, which quantity depends
on the other quantity?
TV News Ratings
Graph
Verbal Model
# who watch the Channel 11 News at 6:00 (N)
depends on
Total # of people who watch the news at 6:00 (T)
11
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10. What is the independent variable quantity, and what
is the dependent quantity in the problem situation?
TV News Ratings
Graph
Verbal Model
# who watch the Channel 11 News at 6:00 (N)
depends on
Total # of people who watch the news at 6:00 (T)
Dependent
Independent
11
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11. The producers of a competing news show on Channel 4
tell the commercial sponsors that their 6:00 News has one
of every three viewers watching it. Should the advertisers
place their commercial on Channel 11 or Channel 4 if they
want to reach the largest television viewing audience?
Explain your reasoning.
TV News Ratings
Channel 4
10.3 33%
3
N
T
Channel 11 20.4 40%
5
N
T
4