EXAMPLE 6 Making Linear Models Involving Speed John and Mary are driving westward along I-76 at constant speeds. The graphs in Fig- ure 5 show the distance y (in miles) that they have traveled from Philadelphia at time x (in hours), where x 0 corresponds to noon. (Note that at noon John has already traveled 150 mi.) y A 400 John 300 200 Mary (a) At what speeds are John and Mary traveling? Who is traveling faster, and how does this show up in the graph? 100 (b) Find functions that model the distances that John and Mary have traveled as func- 0. 1 tions of x. FIGURE 5 John and Mary's trips (c) How far will John and Mary have traveled at 5:00 P.M.? (d) For what time period is Mary behind John? Will Mary overtake John? If so, at what time?

EXAMPLE 6 Making Linear Models Involving Speed John and Mary are driving westward along I-76 at constant speeds. The graphs in Fig- ure 5 show the distance y (in miles) that they have traveled from Philadelphia at time x (in hours), where x 0 corresponds to noon. (Note that at noon John has already traveled 150 mi.) y A 400 John 300 200 Mary (a) At what speeds are John and Mary traveling? Who is traveling faster, and how does this show up in the graph? 100 (b) Find functions that model the distances that John and Mary have traveled as func- 0. 1 tions of x. FIGURE 5 John and Mary's trips (c) How far will John and Mary have traveled at 5:00 P.M.? (d) For what time period is Mary behind John? Will Mary overtake John? If so, at what time?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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