David is completing a 100-mile triathlon. He swims 2 miles in 1 hour, then bikes 80 miles in 4 hours and finally runs 18 miles in 3 hours. David's Race a. Complete the table for David's race. b. Draw a graph of David's distance versus Activity Time (hours) Distance Rate (miles) (mi/hour) time. Swimming C. Write a piecewise function for the situation. Biking 4. Running Function 100 d. How far has David travelled half-way through the race? Does this make sense?

David is completing a 100-mile triathlon. He swims 2 miles in 1 hour, then bikes 80 miles in 4 hours and finally runs 18 miles in 3 hours. David's Race a. Complete the table for David's race. b. Draw a graph of David's distance versus Activity Time (hours) Distance Rate (miles) (mi/hour) time. Swimming C. Write a piecewise function for the situation. Biking 4. Running Function 100 d. How far has David travelled half-way through the race? Does this make sense?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

David is completing a 100-mile triathlon. He swims 2 miles in 1 hour, then bikes 80 miles in 4 hours and
finally runs 18 miles in 3 hours.
David's Race
a. Complete the table for David's race.
b. Draw a graph of David's distance versus
Activity
Time (hours)
Distance
Rate
(miles)
(mi/hour)
time.
Swimming
C. Write a piecewise function for the situation.
Biking
Running
Function
100
d. How far has David travelled half-way through the race? Does this make sense?
e. Using the graph and/or your equation, justify the accuracy of your answer to part d.

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