Modeling #1 (This is part of the Homework) An airplane trip from Chicago to Philadelphia reported a flight time of 1 hour, 48 minutes covering 678 miles. The return trip required 2 hours 16 minutes. A major factor accounting for the difference in time is the direction of the wind. A similar phenomenon is also evident to swimmers and boaters in a flowing river. Suppose your swimming speed in still water is v. The Beaver Creek River flows at approximately 1.5 meters per second. What is your velocity swimming downstream with the flow of the river? What is your velocity on the way back swimming against the flow? Write a rule for predicting the total time t required to swim 100 meters down river and back. (Remember, d-rt. Solve that for t.) a. Write a rational function rule for the total time required to travel a distance d downstream and back-in a river flowing at a rate v, b. c.. Examine your function rule. What does it indicate if your velocity Is equal to the speed of the river? Explain what this means in terms of your trip. What happens if your velocity is less than the speed of the river? What is the total travel time if your velocity is 0? Explain why this value does not make sense and what is wrong.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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alculator X
S Unit 2 Part 3 HW and THT.pd X
urse/2835999366/materials/gp/4779359318
O YouTube
Spotify
9 CengageBr
E| Di.
esp eSchoolData A Classes Applied Educationa. E Google Docs
Modeling #1 (This is part of the Homework)
An airplane trip from Chicago to Philadelphia reported a flight time of 1 hour, 48 minutes
covering 678 miles. The return trip required 2 hours 16 minutes. A major factor accounting for
the difference in time is the direction of the wind. A similar phenomenon is also evident to
swimmers and boaters in a flowing river. Suppose your swimming speed in still water is v.
The Beaver Creek River flows at approximately 1.5 meters per second.
What is your velocity swimming downstream with the flow of the river?
What is your velocity on the way back swimming against the flow?
Write a rule for predicting the total time t required to swim 100 meters down river and
back. (Remember, d=rt. Solve that for t.)
a.
Write a rational function rule for the total time required to travel a distance d downstream
and back -in a river flowing at a rate v,
b.
C..
Examine your function rule.
What does it indicate if your velocity Is equal to the speed of the river? Explain what this
means in terms of your trip.
What happens if your velocity is less than the speed of the river?
What is the total travel time if your velocity is 0? Explain why this value does not make
sense and what is wrong.
Determine the speed of the plane and the wind speed for the Chicago-Philadelphia trip
described at the beginning of this task.
d.
Transcribed Image Text:alculator X S Unit 2 Part 3 HW and THT.pd X urse/2835999366/materials/gp/4779359318 O YouTube Spotify 9 CengageBr E| Di. esp eSchoolData A Classes Applied Educationa. E Google Docs Modeling #1 (This is part of the Homework) An airplane trip from Chicago to Philadelphia reported a flight time of 1 hour, 48 minutes covering 678 miles. The return trip required 2 hours 16 minutes. A major factor accounting for the difference in time is the direction of the wind. A similar phenomenon is also evident to swimmers and boaters in a flowing river. Suppose your swimming speed in still water is v. The Beaver Creek River flows at approximately 1.5 meters per second. What is your velocity swimming downstream with the flow of the river? What is your velocity on the way back swimming against the flow? Write a rule for predicting the total time t required to swim 100 meters down river and back. (Remember, d=rt. Solve that for t.) a. Write a rational function rule for the total time required to travel a distance d downstream and back -in a river flowing at a rate v, b. C.. Examine your function rule. What does it indicate if your velocity Is equal to the speed of the river? Explain what this means in terms of your trip. What happens if your velocity is less than the speed of the river? What is the total travel time if your velocity is 0? Explain why this value does not make sense and what is wrong. Determine the speed of the plane and the wind speed for the Chicago-Philadelphia trip described at the beginning of this task. d.
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