Step-by-step explanation:
x = ky, where k is a real constant.
When y = 36, x = 24.
=> (24) = k(36), k = 2/3.
Hence x = (2/3)y.
When y = 132, x = (2/3)(132) = 88.
Answer:
see explanation
Given x varies directly with y then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 24 when y = 36, then
36 = 24k ( divide both sides by 24 )
1.5 = k
y = 1.5x ← equation of variation
When y = 132, then
132 = 1.5x ( divide both sides by 1.5 )
x = 88
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Distributive Property of Multiplication
