How do You See it? An electronically controlled thermostat in a home is programmed to lower the temperature automatically during the night. The temperature in the house T (in degrees Fahrenheit) is given in terms of t , the time in hours on a 24-hour clock (see figure). (a) Explain why T is a function of t . (b) Approximate T (4) and T (15). (c) The thermostat is reprogrammed to produce a temperature H for which H ( t ) = T ( t − 1 ) . How does this change the temperature? (d) The thermostat is reprogrammed to produce a temperature H for which H ( t ) = T ( t ) − 1. How does this change the temperature?
How do You See it? An electronically controlled thermostat in a home is programmed to lower the temperature automatically during the night. The temperature in the house T (in degrees Fahrenheit) is given in terms of t , the time in hours on a 24-hour clock (see figure). (a) Explain why T is a function of t . (b) Approximate T (4) and T (15). (c) The thermostat is reprogrammed to produce a temperature H for which H ( t ) = T ( t − 1 ) . How does this change the temperature? (d) The thermostat is reprogrammed to produce a temperature H for which H ( t ) = T ( t ) − 1. How does this change the temperature?
Solution Summary: The author explains that T is the function of t if the temperature in the house is given in degrees Fahrenheit.
How do You See it? An electronically controlled thermostat in a home is programmed to lower the temperature automatically during the night. The temperature in the house T (in degrees Fahrenheit) is given in terms of t, the time in hours on a 24-hour clock (see figure).
(a) Explain why T is a function of t.
(b) Approximate T(4) and T(15).
(c) The thermostat is reprogrammed to produce a temperature H for which
H
(
t
)
=
T
(
t
−
1
)
.
How does this change the temperature?
(d) The thermostat is reprogrammed to produce a temperature H for which
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