(a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Yolanda? Justify The answer.
(a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Yolanda? Justify The answer.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.5: Solve Uniform Motion Applications
Problem 3.97TI: Carina is driving from her home in Anaheim to Berkeley on the same day her brother is driving from...
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Transcribed Image Text:Cycling Race
Three friends, Xavier, Yolanda, and Zeke, want to have a race on their
stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride
n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles,
for any value of n.
Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per
hour, and Zeke's speed is 3 miles per hour.
We will show that Xavier is incorrect (he has never taken a Discrete
Structures course, evi- dently!).
(a) How large must n be to ensure that Yolanda finishes before Xavier?
Justify the answer.
(b)How large must n be to ensure that Zeke finishes before Xavier? Justify
the answer.
(c) As n gets increasingly large, who completes their ride first, Zeke or
Yolanda? Justify The answer.
Answer:
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