Draw the temperature-time graph in each of the following cases:
Question:

Draw the temperature-time graph in each of the following cases:

(i) 

Time (in hours):7:009:0011:0013:0015:0017:0019:0021:00
Temperature (°F) in:1001011041021009910098

(ii)

 

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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