A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data it is determined that between 4:30 PM and 5:30 PM the rate R(t) at which cars enter the freeway is modeled well by the equation R(t)=80+1.2t-0.03t2 cars per minute, where t is the time in minutes somce 4:30 PM. a. According to the model, at what specific time of day does the traffic reach a maximum flow onto the freeway and what is the peak flow rate? b. Determine the total number of cars that the model predicts will enter the freeway between 4:30 PM and 5:30 PM.
A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data it is determined that between 4:30 PM and 5:30 PM the rate R(t) at which cars enter the freeway is modeled well by the equation R(t)=80+1.2t-0.03t2 cars per minute, where t is the time in minutes somce 4:30 PM. a. According to the model, at what specific time of day does the traffic reach a maximum flow onto the freeway and what is the peak flow rate? b. Determine the total number of cars that the model predicts will enter the freeway between 4:30 PM and 5:30 PM.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data it is determined that between 4:30 PM and 5:30 PM the rate R(t) at which cars enter the freeway is modeled well by the equation R(t)=80+1.2t-0.03t2 cars per minute, where t is the time in minutes somce 4:30 PM.
a. According to the model, at what specific time of day does the traffic reach a maximum flow onto the freeway and what is the peak flow rate?
b. Determine the total number of cars that the model predicts will enter the freeway between 4:30 PM and 5:30 PM.
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