The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM on a typical weekday is approximated by the function f(t)=20t-40sqrt(t)+50, where t is greater than or equal to 0 but less than or equal to 4, and t is in hours. Assuming that t=0 happens at 4PM, determine the time at which the average speed of traffic flow is highest and lowest

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM on a typical weekday is approximated by the function f(t)=20t-40sqrt(t)+50, where t is greater than or equal to 0 but less than or equal to 4, and t is in hours. Assuming that t=0 happens at 4PM, determine the time at which the average speed of traffic flow is highest and lowest.

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