Suppose that y varies directly with x, and y3D12 when x=15. (a) Write a direct variation equation that relates x and y. Equation: (b) Find y when x = 2. y = 0
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![Suppose that \( y \) varies directly with \( x \), and \( y = 12 \) when \( x = 15 \).
**(a) Write a direct variation equation that relates \( x \) and \( y \).**
Equation: \[ y = kx \]
**(b) Find \( y \) when \( x = 2 \).**
\[ y = \]
Direct variation means that as one variable increases, the other increases proportionally. The constant \( k \) can be found using the formula \( y = kx \). Given \( y = 12 \) when \( x = 15 \), solve for \( k \) and then use it to find \( y \) when \( x = 2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99de8766-e828-4f0f-bf9f-6e82a771d039%2Fbd1636d5-fd38-400d-b1db-54e583a292b8%2Fck2pnkq_processed.jpeg&w=3840&q=75)
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