1. The problem asks to find the constant in the equation $$\text{Height} = \text{Constant} \times \text{Width}$$ given points on the graph: (0.5, 1), (2, 4), (3, 6), and (5, 10). 2. This is a direct variation problem where Height varies directly as Width, so the formula is $$\text{Height} = k \times \text{Width}$$ where $$k$$ is the constant of variation. 3. To find $$k$$, use any point from the graph. For example, using (0.5, 1): $$1 = k \times 0.5$$ 4. Solve for $$k$$: $$k = \frac{1}{0.5} = 2$$ 5. Check with another point to confirm. Using (2, 4): $$4 = k \times 2$$ $$k = \frac{4}{2} = 2$$ 6. Since $$k = 2$$ for all points, the constant is 2. 7. The options given are 0.5 and 5, neither matches 2, so the constant based on the points is 2, which is not listed in the options. Final answer: The constant is 2 based on the graph points provided.