Q) The temperature-humidity index(or humidex, for short) is T the perceived air temperature when the actual temperature is and the relative humidity is , so we can write I=f (T, h) . The following table of values of 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 (%) h 30 T 20 40 50 60 70 80 77 78 79 81 82 83 85 82 84 86 88 90 93 Actual temperature (F) 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 7 is f(7, 50) = 88? (d) What are the meanings of the functions / = f(80, h) and / = f(100, h)? Compare the behavior of these two functions of h