Jade and her roommate Jari commute to work each morning trav

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).

Solution

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)