Final answer:
The constant of variation, k, when y = 10 and x = 15 in the equation y = kx, is 2/3.
Step-by-step explanation:
The student is asking about the constant of variation (k) in the direct variation equation y = kx. Given that y = 10 when x = 15, we can find k by rearranging the equation to solve for k, which is k = y/x. Plugging in the values gives us k = 10/15, which simplifies to 2/3. Therefore, the constant of variation, k, is 2/3.