Reading and Interpreting graphs. Please download the powerpoint file to enable animation Disclaimer: Some parts of the presentation are obtained from various sources. Credit to the rightful owners.

1. READING AND
INTERPRETIN
G GRAPHS

2. 0 50 100 150 200 250 300 350 400-50-100
0.028
0.036
0.044
0.052
0.060
0.068
0.076
0.084
0.092
A graph showing the relationship between the volume and temperature of a substance
Volume (liters)
Temperature °𝐶
At −50°𝐶, what is the volume of this substance?
• The volume of the substance is 0.036 liters

3. 0 50 100 150 200 250 300 350 400-50-100
0.028
0.036
0.044
0.052
0.060
0.068
0.076
0.084
0.092
Volume (liters)
Temperature °𝐶
What is the temperature at which the substance has
the volume of 0.048 liters?
• The temperature is about 25°𝐶
A graph showing the relationship between the volume and temperature of a substance

4. 0 50 100 150 200 250 300 350 400-50-100
0.028
0.036
0.044
0.052
0.060
0.068
0.076
0.084
0.092
Volume (liters)
Temperature °𝐶
• The volume of the substance is 0.076 liters
At 200°𝐶, what is the volume of the substance?
A graph showing the relationship between the volume and temperature of a substance

5. 0 50 100 150 200 250 300 350 400-50-100
0.028
0.036
0.044
0.052
0.060
0.068
0.076
0.084
0.092
Volume (liters)
Temperature °𝐶
• The volume of the substance will be increased
by 0.008 liters
If the temperature increases by 50°𝐶, what is the
change in volume of the substance?
0.060−0.052= 0.008 liters
A graph showing the relationship between the volume and temperature of a substance

6. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
Invested capital

7. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
If Thanya sells 10 roses, how much profit or loss will she make?
50 − 120 = −70
• The loss is 70 baht.
Invested capital

8. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
If Thanya sells 50 roses, how much profit or loss will she make?
250 −200 = 50
• The profit is 50 baht.
Invested capital

9. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
What is the smallest number of roses Thanya has to sell to earn profit?
• Thanya has to sell at least 34 roses to earn profit.
Invested capital

10. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
If Thanya wants to have at least 80 baht profit, how many roses does she
need to sell?
250 −200 = 50
Invested capital

11. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
If Thanya wants to have at least 80 baht profit, how many roses does she
need to sell?
290 −215 = 75
Invested capital

12. 5 10 15 20 25 30 35 40 45 50 55 60 65 700
50
100
150
200
250
300
350
400
450
Amountofmoney(baht)
Number of roses
There are two graphs in the following figure. The first graph shows the relationship
between the number of roses produced by Thanya and the amount of invested capital.
The second graph shows the relationship between the number of roses sold and the
amount of income.
Income
If Thanya wants to have at least 80 baht profit, how many roses does she
need to sell?
300 −220 = 80
• She needs to sell at least 60 roses.
Invested capital

13. 1 2 3 4 5 6 7 8 9 10 11 12 13 140
5
10
15
20
25
30
35
40
45
Height(meters)
Time (seconds)
The following graphs show the relationship between the time and the height of a
stone thrown vertically up from the ground.

14. 1 2 3 4 5 6 7 8 9 10 11 12 13 140
5
10
15
20
25
30
35
40
45
Height(meters)
Time (seconds)
The following graphs show the relationship between the time and the height of a
stone thrown vertically up from the ground.
What is the maximum height of the stone and how long does it take to get
there?
• The maximum height of the stone is 20 meters and it takes 5 seconds to get
there.

15. 1 2 3 4 5 6 7 8 9 10 11 12 13 140
5
10
15
20
25
30
35
40
45
Height(meters)
Time (seconds)
The following graphs show the relationship between the time and the height of a
stone thrown vertically up from the ground.
At 3 and 8 seconds, is the stone at the same heights? If not, at which time is the
stone at a higher height and how is it higher?
• The height of the stone at 3 seconds is 5 meters higher than when the stone
is at 8 seconds.

16. 1 2 3 4 5 6 7 8 9 10 11 12 13 140
5
10
15
20
25
30
35
40
45
Height(meters)
Time (seconds)
The following graphs show the relationship between the time and the height of a
stone thrown vertically up from the ground.
How long does it take when the stone is at 15 meters above the ground?
• At 3 seconds and 7 seconds.

17. 1 2 3 4 5 6 7 8 9 10 11 12 13 140
5
10
15
20
25
30
35
40
45
Height(meters)
Time (seconds)
The following graphs show the relationship between the time and the height of a
stone thrown vertically up from the ground.
After 6
1
2
seconds, how high is the stone from the ground?
• The stone is at the height of 17 meters.

18. 1 2 3 4 5 6 7 8 9 10 11 12 13 140
5
10
15
20
25
30
35
40
45
Height(meters)
Time (seconds)
The following graphs show the relationship between the time and the height of a
stone thrown vertically up from the ground.
When does the stone fall back to the ground?
• After 9
1
2
seconds.

19. November
1 in
June and July
September to December

20. June and July
January
3.5 in
June or July

21. 2 baht

22. 17.5 kilometers

23. Rungreung Chokdee

24. 25 kilometers

25. Chokdee