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Intro Graphs of Real-Life Situations (1) d Discuss what happens to d as t increases in each of the graphs below, then match each graph to a statement on the right. d increases steadily d remains constant d increases rapidly d increases steadily, then decreases rapidly d decreases steadily d decreases rapidly 1 2 3 4 5 6 1 2 3 4 5 6 t t t t t t d d d d d Remember: The steeper the line, the faster the rate of increase/decrease.

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Discuss what happens to p as q increases in each of the graphs below, then match each graph to a statement on the right. p increases quickly at first, then more slowly 1 2 3 q q q p p p 4 q p p increases slowly at first, then more quickly p increases slowly at first, then more quickly then slowly again p increases quickly at first, then more slowly, then quickly again 2 1 4 3 Graphs of Real-Life Situations (2)

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Experimen t t d A test tube containing a chemical liquid is used in an experiment. During the experiment the depth d of the liquid changes with time t. Match the different parts of the graph to the statements below. 1 2 3 4 5 Liquid is added slowly to the test tube. The level of the liquid remains constant. Some liquid is poured out quickly. Some liquid is poured in quite quickly. The test tube is emptied. 1 2 3 4 5 Graphs of Real-Life Situations (3)

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Population 1955 2005 The graphs below show how the population of four small African countries changed over a 50 year period. Match each graph to a statement. Population 1955 2005 Population 1955 2005 Population 1955 2005 The population declined steadily over the period. The population increased slowly at first, but then increased more quickly. The population increased steadily over the period. The population increased quickly at first, but then increased more slowly. 1 2 3 4 Graphs of Real-Life Situations (4)

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Archimedes Graphs of Real-Life Situations (5) The graph below shows the variation in the depth of water as Archie takes his early morning bath. Match the different parts of the graph to the statements shown. 1 2 3 4 5 6 7 Gets into bath. Pulls the plug. Hot and cold taps turned on. Turns off hot tap. Cold tap turned off, gets undressed. Relaxes in bath. Gets out of bath. Depth of Water Time

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Water 1 1 2 3 4 d d d t t d t t Water is poured into each of the containers below at a constant rate of 250 ml per second. The graphs show how the depth d of the water varies with time t. Match the container to its corresponding graph. A B C D

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A B C D 1 2 3 4 d d d t t d t t

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1 2 3 4 d d d t t d t t A B C D

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1 2 3 4 d d d t t d t t A B C D

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1 2 3 4 d d d t t d t t A B C D

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Chemical 1 1 2 3 4 d d d h h d h h A liquid is poured into each of the containers below. The graphs show how the surface diameter d varies as the height of the liquid h increases. Match each container with its corresponding graph. A B C D d d d d

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1 2 3 4 d d d h h d h h A B C D d d d d

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© T Madas Time Height © T Madas Time Height Liquid is poured in the container at constant rate.

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