SOLUTION: 3) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles

Question 87329:
3) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?
b) How far have you traveled after 4 hours?
c) How far have you traveled after t hours (i.e., write a linear function that expresses the distance traveled, d, as a function of time, t).
d) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 3 hours?
e) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 4 hours?
f) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled t hours (i.e., write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t).

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
TO REDUCE THE NUMBER OF PROBLEMS WE HAVE TO LOOK AT IT WOULD BE BEST TO SUBMIT A PROBLEM ONLY ONCE. IF YOU HAVE 3 COPIES THEN THERE MAY BE THREE TUTORS ALL WORKING ON THE SAME PROBLEM WHICH IS VERY INEFFICIENT. WE ARE FEW IN NUMBER & WE'D BE WASTING OUR TIME WITH MULTIPLE SOLUTIONS TO THE SAME PROBLEM.
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480MILES/60MPH=8 HOURS FOR THE TRIP.
A0 IN 3 HOURS YOU WILL HAVE TRAVELED 3*60=180 MILES.
B) IN 4 HOURS YOU WILL HAVE TRAVELED 4*60=240 MILES.
C) IN T HOURS YOU WILL HAVE TRAVELED D=60*T MILES.
D) AFTER 3 HOURS YOU'LL HAVE 480-180=300 MILES LEFT.
E) AFTER 4 HOURS YOU'LL HAVE 480-240=240 MILES LEFT.
F) AFTER T HOURS YOU'LL HAVE 480-60*T=MILES LEFT.
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