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Question 815535: The value of a mirror exceeding 10 m2 in area varies directly as the square of its area. Given that a 60 m2 mirror costs $400. Find the price of 45 m2 mirror?
Solution with explanation please
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! v = M(a^2)
v value of mirror
a = mirror area
M constant of proportionality for the value of this type of mirror
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v = M(a^2)
400 = M(60^2)
M = 400/(60^2)
M = 0.111111
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v = M(a^2)
v = M(45^2)
v = 0.111111(2025)
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Answer:
224.999999
the value of a 45 sq.m mirror is $225.00
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the problem statement tells us that the value of this type of mirror varies DIRECTLY (i.e. in the same proportion), as the area-squared of the mirror.
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the constant of proportionality (M) is necessary in order to properly relate area-squared to value.
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