he formula given below gives the expansion I of a particular highway of length L at a temperature of T degrees Fahrenheit. The variable t stands for the temperature at which the highway was built. If a 2​-mile stretch of highway was built at an average temperature of 60°F​, what is the maximum temperature it can withstand if expansion joints allow for 7.4 ft of​ expansion? (Hint: The units of L must be the same as the units of I and remember that 1 mile=5280 feet.​)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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The formula given below gives the expansion I of a particular highway of length L at a temperature of T degrees Fahrenheit. The variable t stands for the temperature at which the
highway was built. If a 2​-mile stretch of highway was built at an average temperature of 60°F​, what is the maximum temperature it can withstand if expansion joints allow for 7.4 ft of​ expansion? (Hint: The units of L must be the same as the units of I and remember that
1 mile=5280 feet.​)
| = 0.000014L(T- t)
The maximum temperature is approximately F.
Transcribed Image Text:| = 0.000014L(T- t) The maximum temperature is approximately F.
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