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If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?
O y 28 (2)
o y (2)
Oy-
(48) (6)
2
2.
oy-748) (6)
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fichoh

The direct variation between x and y such that any value of y can be obtained from the relationship is : y = 8x

y varies directly as x

  • y α x
  • y = kx ; where k = constant of proportionality
  • y = 48 when x = 6

We can solve for k ;

  • 48 = 6k
  • Divide both sides by 6 to isolate k
  • 8 = k

The expression becomes :

  • y = 8x

The value of y when x = 2 :

  • Put x = 2 in the expression
  • y = 8(2)
  • y = 16

Therefore, the expression to obtain the value of y when x = 2 is y = 8(2)

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