# What direct equation relates x and y if y varies directly with x and #y=30# when #x=3#?

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The direct equation that relates ( x ) and ( y ) when ( y ) varies directly with ( x ) is ( y = kx ), where ( k ) is the constant of variation. To find ( k ), substitute the given values ( x = 3 ) and ( y = 30 ) into the equation and solve for ( k ).

[ y = kx \ 30 = k \times 3 \ k = \frac{30}{3} \ k = 10 ]

So, the direct equation that relates ( x ) and ( y ) is ( y = 10x ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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