Final answer:
To find the value of k in the equation Y = k/3x + 2 with a slope between 1/6 and 1/5, one possible value of k is 3/4.
Step-by-step explanation:
To find the value of k in the equation Y = k/3x + 2 with a slope between 1/6 and 1/5, we need to analyze the slope of the equation. The slope of a linear equation in the form Y = mx + b represents the coefficient of x, which is m. In this case, the slope is k/3. We can set up the inequality 1/6 < k/3 < 1/5 and solve for k. Multiplying all sides of the inequality by 3, we have 1/2 < k < 3/5. Therefore, one possible value of k that satisfies the inequality is k = 3/4. Therefore, option c) k = 3/4 is one possible value of k.