Heat index The highest recorded temperature in the state of Alaska was 100°F , occurring on June 27,1915, at Fort Yukon. The heat index is the apparent temperature of the air at a given temperature and humidity level. If x denotes the relative humidity (in percent), then the heat index (in degrees Fahrenheit) for an air temperature of 100°F can be approximated by the function f ( x ) = 0.009 x 2 + 0.139 x + 91.875 (a) At what rate is the heat index changing when the humidity is 50 % ? (b) Write a sentence that explains the meaning of your answer in part (a).
Heat index The highest recorded temperature in the state of Alaska was 100°F , occurring on June 27,1915, at Fort Yukon. The heat index is the apparent temperature of the air at a given temperature and humidity level. If x denotes the relative humidity (in percent), then the heat index (in degrees Fahrenheit) for an air temperature of 100°F can be approximated by the function f ( x ) = 0.009 x 2 + 0.139 x + 91.875 (a) At what rate is the heat index changing when the humidity is 50 % ? (b) Write a sentence that explains the meaning of your answer in part (a).
Solution Summary: The author calculates the instantaneous rate of change of heat index when humidity is 50%.
Heat index The highest recorded temperature in the state of Alaska was
100°F
, occurring on June 27,1915, at Fort Yukon. The heat index is the apparent temperature of the air at a given temperature and humidity level. If x denotes the relative humidity (in percent), then the heat index (in degrees Fahrenheit) for an air temperature of
100°F
can be approximated by the function
f
(
x
)
=
0.009
x
2
+
0.139
x
+
91.875
(a) At what rate is the heat index changing when the humidity is
50
%
?
(b) Write a sentence that explains the meaning of your answer in part (a).
WebAssign with Corequisite Support for Harshbarger/Reynolds/Karr/Massey's Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition [Instant Access], Single-Term
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