The equation of variation for the given situation is y = 5x.
Direct Proportion
In mathematics, a direct proportion is a comparison of two integers where the ratio of the two numbers equals a constant value. According to the concept of proportion, two ratios are in proportion when they are equal.
If a varies directly to b then the relation between them can represent as
=> a ∝ b
=> a = kb [ where 'k' is proportionality constant]
Here we have
y varies directly as x, this can be shown as
=> y ∝ x
=> y = kx ---- (1) [ Where 'k' is proportionality constant ]
Given that y = 0.1 and x = 0.5
Substitute the above values in (1)
=> 0.1 = k(0.5)
=> k = 0.5/ 0.1
=> k = 5
(1) => y = 5x
Therefore,
The equation of variation for the given situation is y = 5x.
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