The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
What is the constant of variation?
What is the equation representing the direct variation?
Answers
Given : The conversion of square feet to square yards can be represented by direct variation.
3 square yards are equivalent to 27 square feet.
To Find : What is the constant of variation?
What is the equation representing the direct variation?
Solution:
Let y represent the number of square yards and
x the number of square feet.
y varies directly with x.
y ∝ x
y = kx
k is constant of variation or proportionality
3 square yards are equivalent to 27 square feet.
3 = k 27
=> 1 = 9k
=> k = 1/9
constant of variation = 1/9
y = kx
=> y = (1/9(x)
=> y = x/9
equation representing the direct variation
y = x/9
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