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Y is inversly proportional to x^3 y=28 when x=a work out the value of y when x=2a

User Bakuriu
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1 Answer

5 votes

Answer:

y = 7/2

Explanation:

The above statement is written as


y = \frac{k}{ {x}^(3) }

where k is constant of variation

y = 28 x = a


28 = \frac{k}{ {a}^(3) } \\ \\ k = 28 {a}^(3)

The formula for the variation is


y = \frac{28 {a}^(3) }{ {x}^(3) }

when x = 2a

y is


y = \frac{28 {a}^(3) }{( {2a)}^(3) } \\ y = \frac{ {28a}^(3) }{ {8a}^(3) } \\ \\ y = (28)/(8) \\ \\ y = (7)/(2)

Hope this helps you

User Antony Mativos
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