The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = – 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10³)r° - (5.481717 x 10-2)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-“)7®h,². a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2ºF per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = – 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10³)r° - (5.481717 x 10-2)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-“)7®h,². a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2ºF per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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Transcribed Image Text:The heat index (HI) is an estimate of the temperature felt by the human body based on the
actual measured air temperature T (in °F) and relative humidity h,. It is given by
HI = - 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-³)T²
- (5.481717 x 10-3)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,²
- (1.99 x 10-")T®h,?.
a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does
your body feel?
b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per
sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air
temperature in your area is 107°F with a relative humidity of 8%?
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