Suppose a person is going up in a hot air balloon. The surrounding air temperature with height according to the formula 0.000065h T(h) = 67 e where h is the height in feet. How fast is the temperature decreasing when the pers rising at a speed of 841 ft/hr?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 17TI: A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the...
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Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees Fahrenheit decreases
with height according to the formula
-0.000065h
T(h) = 67 e
where h is the height in feet. How fast is the temperature decreasing when the person is at a height of 950 ft and
rising at a speed of 841 ft/hr?
The temperature is decreasing at
degrees
hour
Transcribed Image Text:Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees Fahrenheit decreases with height according to the formula -0.000065h T(h) = 67 e where h is the height in feet. How fast is the temperature decreasing when the person is at a height of 950 ft and rising at a speed of 841 ft/hr? The temperature is decreasing at degrees hour
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