An electronically controlled thermostat is programmed to lower the temperature d

Question

An electronically controlled thermostat is programmed to lower the temperature during the night automatically (see figure). The temperature T in degrees Celsius is given in terms of t, the time in hours on a 24-hour clock. 26 24 20 T 18 16 14 12 10 3 6 9 12 15 18 21 24 (a) Approximate the following values. T (12) T(5) = (b) The thermostat is reprogrammed to produce a temperature H(t) = T(t + 2). How does this change the temperature? The changes in temperature will occur hours earlier 4. (c) The thermostat is reprogrammed to produce a temperature H(t) = T() + 6, How does this change the temperature? The temperatures are o lower

Explanation / Answer

1. From the graph, value of T at t=12 , T(12)= 26?

and T(5)= 18?

2.H(t) = T(t+2)

The change in temperature will occur 2 hours earlier.

3. H(t) = T(t) + 6

The temperatures are 6° higher.

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