(Chapter Opener Revisited) In the discussion that introduced this chapter, we looked at the graph of the heat index at a fixed air temperature of 85°F as a function of the relative humidity.
a. Use the given table of values for that function to determine the average rate of change over consecutive input values
b. Use your answer from part (a) to determine the intervals of input values where the average rate of change is increasing, decreasing, or constant
c. In our discussion, we noted that for relative humidities of 0% to 60%, the graph appeared to be a straight line. Over those input values, was the average rate of change increasing, decreasing, or constant?
d. In our discussion, we noted that for relative humidities of 60% to 100%, the graph appeared to curve upward. Over those input values, was the average rate of change increasing, decreasing, or constant?
Relative Humidity (%) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
Apparent Temperature (°F) | 78 | 80 | 82 | 84 | 86 | 88 | 90 | 93 | 97 | 102 | 108 |
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