The temperature-humidity index I (or humidex, for short) is the perceived air

Chapter 9, Problem 2

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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 fsT, hd. The following table of values of I is an excerpt from a table compiled by the National Oceanic & Atmospheric Administration. Table 2 Apparent temperature as a function of temperature and humidity 77 82 87 93 99 78 84 90 96 104 79 86 93 101 110 81 88 96 107 120 82 90 100 114 132 83 93 106 124 144 T h 20 30 40 50 60 70 80 85 90 95 100 Actual temperature (F) Relative humidity (%) (a) What is the value of fs95, 70d? What is its meaning? (b) For what value of h is fs90, hd 100? (c) For what value of T is fsT, 50d 88? (d) What are the meanings of the functions I fs80, hd and I fs100, hd? Compare the behavior of these two functions of h.