A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is ) must be on the graph of the Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000).
A mountain climber feels that the air temperature decreases as his elevation increases. When his elevation is 2000 feet above sea level, the temperature is 60°F. The temperature decreases 3°F for every 1000 feet the climber ascends. a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the temperature, in degrees Fahrenheit, at elevation h feet above sea level. We know that (2000, equation; and since the temperature goes down 3° for every 1000-foot increase in elevation, the slope of the function T(h) is ) must be on the graph of the Thus a possible point-slope equation for T(h) is T(h) = 60 -0.003(h - 2000).
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Transcribed Image Text:A mountain climber feels that the air temperature decreases as his
elevation increases. When his elevation is 2000 feet above sea level,
the temperature is 60°F. The temperature decreases 3°F for every
1000 feet the climber ascends.
a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the
temperature, in degrees Fahrenheit, at elevation h feet above sea
level.
We know that (2000,
3
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equation; and since the temperature goes down 3°
for every 1000-foot increase in elevation, the slope of the function
T(h) is
Thus a possible point-slope equation for T(h) is
T(h) = 60 -0.003(h - 2000).
b) Explain why this equation might be useful for someone whose
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Transcribed Image Text:A mountain climber feels that the air temperature decreases as his
elevation increases. When his elevation is 2000 feet above sea level,
the temperature is 60°F. The temperature decreases 3°F for every
1000 feet the climber ascends.
a) Explain why the equation T(h) = 60 -0.003(h-2000) gives the
temperature, in degrees Fahrenheit, at elevation h feet above sea
level.
We know that (2000,
3
U
equation; and since the temperature goes down 3°
for every 1000-foot increase in elevation, the slope of the function
T(h) is
Thus a possible point-slope equation for T(h) is
T(h) = 60 -0.003(h - 2000).
b) Explain why this equation might be useful for someone whose
S
f4
LA
$
101
4
r
f5
%
5
T
f6
Q Search
6
) must be on the graph of the
f7
&
Y
7
fg
*
U
hp
8
fg
14
9
i
f10
O
с
myha
f11
DDI
P
f12
+
[
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