The temperature-humidity index I (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write I = f ( T , h ) . The following table of values of I is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration. Table 3 Apparent temperature as a function of temperature and humidity Relative humidity (%) Actual temperature (°F) h T 20 30 40 50 60 70 80 77 78 79 81 82 83 85 82 84 86 88 90 93 90 87 90 93 96 100 106 95 93 96 101 107 114 124 100 99 104 110 120 132 144 (a) What is the value of f ( 95 , 70 ) ? What is its meaning? (b) For what value of h is f ( 90 , h ) = 100 ? (c) For what value of T is f ( T , 50 ) = 88 ? (d) What are the meanings of the functions I = f ( 80 , h ) and I = f ( 100 , h ) ? Compare the behavior of these two functions of h .
The temperature-humidity index I (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write I = f ( T , h ) . The following table of values of I is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration. Table 3 Apparent temperature as a function of temperature and humidity Relative humidity (%) Actual temperature (°F) h T 20 30 40 50 60 70 80 77 78 79 81 82 83 85 82 84 86 88 90 93 90 87 90 93 96 100 106 95 93 96 101 107 114 124 100 99 104 110 120 132 144 (a) What is the value of f ( 95 , 70 ) ? What is its meaning? (b) For what value of h is f ( 90 , h ) = 100 ? (c) For what value of T is f ( T , 50 ) = 88 ? (d) What are the meanings of the functions I = f ( 80 , h ) and I = f ( 100 , h ) ? Compare the behavior of these two functions of h .
Solution Summary: The author explains how to find the value of f(95,70) and state the meaning of it.
The temperature-humidity index I (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write
I
=
f
(
T
,
h
)
. The following table of values of I is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration.
Table 3 Apparent temperature as a function of temperature and humidity
Relative humidity (%)
Actual temperature (°F)
h T
20
30
40
50
60
70
80
77
78
79
81
82
83
85
82
84
86
88
90
93
90
87
90
93
96
100
106
95
93
96
101
107
114
124
100
99
104
110
120
132
144
(a) What is the value of
f
(
95
,
70
)
? What is its meaning?
(b) For what value of h is
f
(
90
,
h
)
=
100
?
(c) For what value of T is
f
(
T
,
50
)
=
88
?
(d) What are the meanings of the functions
I
=
f
(
80
,
h
)
and
I
=
f
(
100
,
h
)
? Compare the behavior of these two functions of h.
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