SOLUTION: The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating v and h.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating v and h.      Log On


   



Question 254338: The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating v and h.
Found 2 solutions by drk, stanbon:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
From this sentence, we can create a direct variation formula:
The volume, V, of a tank varies directly with its height, h
V+=+kh
step 1 - put in the numbers you are given to find k. the numbers were
h = 12, V = 300. SO, we get
300+=+k%2A12
solving for k, we get
K = 75.
step 2 - rewrite the equation with your new k value as
V+=+75h
we are done.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating v and h.
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V = kh
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Find "k" based on the information given.
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300 = k*12
k = 300/12
k = 25
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Equation:
V = 25h
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Cheers,
Stan H.