Question

The value of y varies directly with x, and y = 343 when x = 49. find y when x = 8.

Answer 1

The value of y is 56 when x = 8.

Given

y = 343 when x = 49

Value of y varies directly with x

Therefore, y ∝ x

We can write the equation with a constant 'k'

y = kx

When y = 343 and x = 49

343 = k × 49

k = 343/49

k = 7

When x = 8,

y = kx

y = 7 × 8

y = 56

The value of y is 56 when x = 8.

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