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Question

# Draw the temperature-time graph in each of the following cases: (i) Time (in hours): 7:00 9:00 11:00 13:00 15:00 17:00 19:00 21:00 Temperature (°F) in: 100 101 104 102 100 99 100 98 (ii) Time (in hours): 8:00 10:00 12:00 14:00 16:00 18:00 20:00 Temperature (°F) in: 100 101 104 103 99 98 100

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Solution

## Here, time is an independent variable and temperature is a dependent variable. So, we take time on the x-axis and temperature on the y-axis. Let us choose the following scale: For point (i): On x-axis: 1 cm = 1 hours On y-axis: 1 cm = 2οF ​For point (ii): On x-axis: 2 cm = 2 hours On y-axis: 1 cm = 1οF Let us assume that on the x-axis, the coordinate of origin is 6:00. On y-axis, the coordinate of origin is 94οF . So, the coordinates of O are (6:00, 94). Now, let us plot (7:00, 100), (9:00, 101), (11:00, 104),..(21:00, 98) for point (i) and (8:00, 100), (10:00, 101), (12:00, 104),...,(20:00, 100) for point (ii). These points are joined to get the graphs representing the given information as shown in the figures below.​ (i) (ii)

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