Homework Help is Here – Start Your Trial Now!
Math
Calculus
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 +1.21 – 0.031 cars per minute, where t is the time in minutes since 4:30 PM. 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?

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 +1.21 – 0.031 cars per minute, where t is the time in minutes since 4:30 PM. 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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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...
See similar textbooks
icon
Related questions
Question
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(1) at which cars enter the freeway is modeled well by the equation R(1) = 80 +1.2t – 0.031² cars per minute, where t is the time in minutes since 4:30 PM. 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? Determine the total number of cars that the model predicts will enter the freeway between 4:30 PM and 5:30 PM.
Transcribed Image Text: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(1) at which cars enter the freeway is modeled well by the equation R(1) = 80 +1.2t – 0.031² cars per minute, where t is the time in minutes since 4:30 PM. 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? Determine the total number of cars that the model predicts will enter the freeway between 4:30 PM and 5:30 PM.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS