At the beginning of Section 14.3 we discussed the heat index (perceived temperature) as a function of the actual temperature and the relative humidity and gave the following table of values from the National Weather Service

Find a linear approximation for the heat index I = f(T, H) when I is near 96°F and H is near 70%. Use it to estimate the heat index when the temperature is 97°F and the relative humidity is 72%.

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Actual temperature (°F) 50 55 96 98 100 94 104 96 109 98 100 T H 90 92 Relative humidity (%) 60 65 70 100 103 106 109 103 105 108 107 111 114 118 113 116 121 125 114 118 123 127 133 119 124 129 135 141 90 115 119 112 115 119 123 128 122 127 132 137 130 135 141 146 138 144 150 157 147 154 161 168 75 80 85 112