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
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
: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
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
: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
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
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
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
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
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
8. What is the common ratio in the problem situation?
TV News Ratings
Graph
Verbal Model
2
5
11
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
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
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
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