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+ 2T + 10h, – 0.22TH, – 1.99T²h,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 107ºF with a relative humidity of 8%? (1 point) (4 points)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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1. 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+ 2T + 10h, – 0.227h,
1.997 h,?.
a. If the air temperature in your area is 107ºF 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
sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air
temperature in your area is 107ºF with a relative humidity of 8%?
(1 рoint)
per
(4 points)
Transcribed Image Text:1. 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+ 2T + 10h, – 0.227h, 1.997 h,?. a. If the air temperature in your area is 107ºF 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 sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107ºF with a relative humidity of 8%? (1 рoint) per (4 points)
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