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Question 78951: Can someone please help me with this? I have started back to school after a 30 year absence and I'm lost. I have no prior knowledge of algebra and now I'm "required" take the class. Help!!!!! I believe this stuff is supposed to be answered with the x,y, etc. stuff. How I don't know!! Here is the Problem:
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?
Found 2 solutions by stanbon, mathdoc314:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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?
distance = rate*time
distance = (60mi/hr)(3 hr)= 180 miles
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b) How far have you traveled after 4 hours?
Answer:
Show work in this space.
distance=rate*time
distance=60mph*4hr = 240 mi
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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).
Answer:
distance=rate*time
distace=60t miles
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d) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 3 hours?
Answer:
Show work in this space.
Let x be the remaining distance.
x=480-60*3
x=480-180
x=300 miles
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e) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 4 hours?
Answer:
Show work in this space.
Let x be the remaining distance.
x=480-60*4
x=480-240
x=240 miles
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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).
s=480-60t
Cheers,
Stan H.
Answer by mathdoc314(58) (Show Source):
You can put this solution on YOUR website! You are courageous to go back to school after 30 years!
I have edited your question to take out some aspects I did not like about it.
Please do not post numerous questions as one question.
Also, I do not want to answer a question that tells me "Answer" and "Show your work". In a tutoring site I help to teach someone to do something, not do homework so someone can pass a "required" class. It is required because it is good if people can understand things. Please pay attention to the answer and try to actually learn what is going on. I am sure locating the answer will be the least of your problems. Just because you are instructed to show your work does not mean I am going to appreciate being told to show my work. As a true believer in math I am probably going to show you more work than you need in my explanation. Is this clear??!!
Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?
OK the formula you might want to have here is:
Distance and Speed formula
d = s * t
The distance traveled is the average speed multiplied by the amount of time traveled.
The formula assumes a constant speed. The question seems to be following some idealized view of reality where an 'average' speed can be used as a constant speed. Therefore the answer you are about to get is not going to have a very exact relationship to reality. In reality you might drive at a very nearly constant speed of 60 miles an hour for 20 minutes on cruise control, except there would be slight hills and breezes and other natural variations. To exactly represent the distance traveled would require calculus and integrals.
So your answer is going to involve the word 'Approximately' is what I am getting to here. Sorry for lecturing
Anyway, your t is 3 hours, your s is about 60 miles per hour, and if you use the formula
d = t * s
that is
d = 3 * 60
d = 180 miles
Answer: you traveled about 180 miles
I hope this gets you off to a good start. I am sure your questions will improve a lot after this! Thanks for using the site. Welcome back to school!
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