Algebra Project Chapter 5
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Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Activity One: Doing Group One Data
Number of People
Time(Seconds)
1
2.4
2
4.6
3
6.8
4
8.7
5
10.1
Group Two Data Number of People
Time(Seconds)
1
5.2
2
5.6
3
7.2
4
8.7
5
10.8
Activity Two: Graphing Data
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Number of People
Time(Seconds)
1
2.4
2
3.3
3
5.7
4
7.7
5
8.9
6
9.9
7
11
8
13.5
9
14.7
10
15.4
Positive correlation
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Activity Three: Writing T(n)= 4.3n solve for t(5) T(5)=4.3(5) T(5)=21.5 2. T(5) represents the time(t) it takes 5 people to say the tongue twister “A cricket critic cricked his neck at a critical cricket match.” 3. T(0)=means that nobody was saying the tongue twister 4. T(n)= 34.4 -if the function was t(n)=4.3(n) that would mean that 4.3 times n(which equals the number of people) equals 34.4 seconds. To find n, you would need to divide 34.4 by 4.3 which equals 8. This means that 8 people were saying the tonge twister 1.
5. n
T(n)
-1
-4.3
1
4.3
2
8.6
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Positive correlation Activity Four: Analyzing Data Tongue twister used: you used unicorns in Utah Table Number of People
Time(seconds)
1
2
2
3.2
3
3.9
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
4
5.4
5
6.5
6
8
7
9
8
9.4
9
11.8
10
12.8
Graph
Positive correlation No, the points don’t form a line because it’s impossible to have half a person in the data. Function: t(n) ≈ n+1.5
Finishing the Project
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
The correlation for all of the scatter plots is positive because the more people that say a tongue twister the more the time will increase. As the input increases, so does the output. A function rule can predict the time it will take n people to say a tongue twister because usually when you place the number of people in for n you get a number very close to what it would actually be if you got a whole bunch of people together to say the tongue twister. There is usually a pattern in the data for this experiment because the tongue twister should take everybody about the same amount of time to say.
Activity One: Doing Group One Data
Number of People
Time(Seconds)
1
2.4
2
4.6
3
6.8
4
8.7
5
10.1
Group Two Data Number of People
Time(Seconds)
1
5.2
2
5.6
3
7.2
4
8.7
5
10.8
Activity Two: Graphing Data
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Number of People
Time(Seconds)
1
2.4
2
3.3
3
5.7
4
7.7
5
8.9
6
9.9
7
11
8
13.5
9
14.7
10
15.4
Positive correlation
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Activity Three: Writing T(n)= 4.3n solve for t(5) T(5)=4.3(5) T(5)=21.5 2. T(5) represents the time(t) it takes 5 people to say the tongue twister “A cricket critic cricked his neck at a critical cricket match.” 3. T(0)=means that nobody was saying the tongue twister 4. T(n)= 34.4 -if the function was t(n)=4.3(n) that would mean that 4.3 times n(which equals the number of people) equals 34.4 seconds. To find n, you would need to divide 34.4 by 4.3 which equals 8. This means that 8 people were saying the tonge twister 1.
5. n
T(n)
-1
-4.3
1
4.3
2
8.6
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
Positive correlation Activity Four: Analyzing Data Tongue twister used: you used unicorns in Utah Table Number of People
Time(seconds)
1
2
2
3.2
3
3.9
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
4
5.4
5
6.5
6
8
7
9
8
9.4
9
11.8
10
12.8
Graph
Positive correlation No, the points don’t form a line because it’s impossible to have half a person in the data. Function: t(n) ≈ n+1.5
Finishing the Project
Algebra Project Chapter 5: Fast Talker October 21st, 2009 Nicole Johnson
The correlation for all of the scatter plots is positive because the more people that say a tongue twister the more the time will increase. As the input increases, so does the output. A function rule can predict the time it will take n people to say a tongue twister because usually when you place the number of people in for n you get a number very close to what it would actually be if you got a whole bunch of people together to say the tongue twister. There is usually a pattern in the data for this experiment because the tongue twister should take everybody about the same amount of time to say.
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