SOLUTION: Aqueducts were once used to carry water from rivers using gravity. Water flowing too quickly might damage an aqueduct, but water flowing too slowly might not keep the aquiducts cl

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Question 51131: Aqueducts were once used to carry water from rivers using gravity. Water flowing too quickly might damage an aqueduct, but water flowing too slowly might not keep the aquiducts clear. One of the best and most common designs for an aqueduct was to raise it 3 meters for every kilometer in length. What is the slope of an aqueduct built with this design?
I need help in understanding how to find the slope from this word problem because I don't understand anything about word problems. So if you could please help me to solve this problem step by step it would be helpful.



Found 2 solutions by checkley71, Earlsdon:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
PICTURE A GRAPH WITH AN X AXIS OF 1000 METERS AND A Y AXIS OF AT LEAST 3 METERS.
THE FIRST POINT ON THE LINE FOR THE AQUEDUCT IS (0,0) AND THE SECOND POINT IS (1000,3) THUS YOU HAVE A SLOPE OF (0-3)/(0-1000) OR -3/-1000 OR .003 FOR THE SLOPE OF THE AQUADUCT.

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Remember the basic definition of slope..."Rise over Run"
In your problem, the aqueduct rises 3 meters (Rise = 3) for every kilometer (1,000 meters) in length (Run = 1,000 meters).
So the slope is Rise/Run = 3/1000 = 0.003
Does this help?

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