y varies directly as x. If [tex]x = 5[/tex] when [tex]y = 12[/tex], find [tex]x[/tex] when [tex]y = 30[/tex].

Answer: The equation is y=k(x). So 12=k(5), divide by 5 on both sides coming up with k=2.4. Plug 2.4 in as k in the original equation, making it 30=2.4(x), divide both sides by 2.4, 30 divided by 2.4 is 12.5, making x=12.5

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Answered by Itsjoshgacha | 2024-06-12

To find x when y = 30 with direct variation, we first determine the constant of variation k from the values y = 12 when x = 5, which gives k = 2.4. Then, we use this constant in the equation y = kx to find x when y = 30, resulting in x = 12.5.
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Answered by Itsjoshgacha | 2024-09-27