Jade and her roommate Jari commute to work each morning, traveling west on I-10.
ID: 3425257 • Letter: J
Question
Jade and her roommate Jari commute to work each morning, traveling west on I-10. One morning Jade left for work at 6:50 A.M., but Jari left 10 minuteslater. Both drove at a constant speed. The following graphs show the distance (in miles) each of them has traveled on I-10 at time t (in minutes), where t = 0is 7:00 A.M.
(a) Use the graph to decide which of them is traveling faster.
Jade
Jari
(b) Find the speed (in mi/h) at which each of them is driving.
(c) Find linear functions f and g that model the distances that Jade and Jari travel as functions of t (in minutes).
travled (mi) Time Since 7:00 A.M. (min)
Explanation / Answer
let jari travels for t hours
jade travels 10 minutes earlier than jari so ,
jade travels for (t + 1/6) hours
speed of jari = 64 mi/h
speed of jade = 55 mi/h
distance = speed * time
hence , distance function
distance travelled by jari d(t) = 64 t
distance travelled by jade d(t) = 55 ( t+1/6)
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