SOLUTION: The Reflecting Pool near the Washington Monument is a rectangle with a length that is 50 feet more than 15 times its width. The depth of the pool is 1/50 of the width. Let w repr

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The Reflecting Pool near the Washington Monument is a rectangle with a length that is 50 feet more than 15 times its width. The depth of the pool is 1/50 of the width. Let w repr      Log On


   

Question 945698: The Reflecting Pool near the Washington
Monument is a rectangle with a length that is 50 feet more than 15 times its
width. The depth of the pool is 1/50 of the width. Let w represent the width of the pool.
A. Write polynomial expressions for the length and depth of the pool in terms of w. Then write a polynomial expression for the volume of the pool in terms of w.
B.The depth of the pool is 3 feet. What is the volume of the pool?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+w+ = the width of the pool in feet
+15w+%2B+50+ the length of the pool in feet
+w%2F50+ = the depth of the pool in feet
-------------------------------
Volume, +v+ = width x length x depth
+v+=+w%2A%28+15w+%2B+50+%29%2A%28+w%2F50+%29+
+v+=+%281%2F50%29%2Aw%5E2%2A%28+15w+%2B+50+%29+
+v+=+%28+1%2F50+%29%2A15w%5E3+%2B+50w%5E2+
+v+=+%28+3%2F10+%29%2Aw%5E3+%2B+w%5E2+ ft3
--------------------------
depth = +3+ ft
+w%2F50+=+3+
+w+=+150+ ft
+v+=+%28+3%2F10+%29%2A150%5E3+%2B+150%5E2+
+v+=+%283%2F10%29%2A3375000+%2B+22500+
+v+=+1012500+%2B+22500+
+v+=+1035000+
The volume is 1,035,000 ft3
Hope I got it -check my math