The heat index is a temperature which tells you how hot it feels as a result of the combination of temperature and humidity. See Table 8.4. Heat exhaustion is likely to occur when the heat index reaches 105◦F.
(a) If the temperature is 80◦F and the humidity is 50%, how hot does it feel?
(b) At what humidity does 90◦F feel like 90◦F?
(c) Make a table showing the approximate temperature at which heat exhaustion becomes a danger, as a function of humidity.
(d) Explain why the heat index is sometimes above the actual temperature and sometimes below it.

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Table 8.4 Heat index (°F) as a function of humidity (H%) and temperature (°F) H 70 75 80 85 90 0 64 69 73 78 10 65 70 75 80 20 66 72 77 82 73 78 84 30 67 40 68 74 79 86 50 69 75 81 88 96 60 70 76 82 90 100 88988 8888 83 85 87 90 93 T 95 100 105 110 115 87 91 95 99 103 100 105 90 95 111 93 99 105 112 120 96 104 104 113 123 135 101 110 123 137 151 107 120 135 150 114 132 149