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Question 1054442: Ok so I have the first couple parts of it already figured out but I am stuck on this one section.. its a long question but I only need help on the one part of it, so here it goes...
You planned a trip with your best friend from college. You had only 4 days for your trip and planned to travel x hours each day.
The first day, you stopped for sightseeing and lost 3 hours of travel time. The second day, you gained 1 hour because you did not stop for lunch. On the third day, you traveled well into the night and doubled your planned travel time. On the fourth day, you traveled only a fourth of the time you planned because your friend was sick. You averaged 50 miles per hour for the first 2 days and 56 miles per hour for the last 2 days. Complete parts a through f.
a. How many hours, in terms of x, did you travel the first 2 days?
2x-2 hr
b. How many hours, in terms of x, did you travel the last 2 days?
2.25x
c. Express the total distance, D, traveled over the 4 days as a symbolic rule in terms of x.
D=226x-100
d. Write a symbolic rule that expresses the total distance, y, you would have traveled had you traveled exactly x hours each day at the average speeds indicated above.
y=___ mi
D is what I need help with! Thanks so much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You planned a trip with your best friend from college. You had only 4 days for your trip and planned to travel x hours each day.
The first day, you stopped for sightseeing and lost 3 hours of travel time
x-3 hrs
The second day, you gained 1 hour because you did not stop for lunch.
x+1 hrs
The third day, you traveled well into the night and doubled your planned travel time.
2x hrs
The fourth day, you traveled only a fourth of the time you planned because your friend was sick.
x/4 hrs
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You averaged 50 miles per hour for the first 2 days and 56 miles per hour for the last 2 days. Complete parts a through f.
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a. How many hours, in terms of x, did you travel the first 2 days?
2x-2 hr
b. How many hours, in terms of x, did you travel the last 2 days?
2.25x
c. Express the total distance, D, traveled over the 4 days as a symbolic rule in terms of x.
D=226x-100
d. Write a symbolic rule that expresses the total distance, y, you would have traveled had you traveled exactly x hours each day at the average speeds indicated above.
y= 50(2x)+56(2x) mi = (50+56)2x = (106)*2x = 212x
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Cheers,
Stan H.
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