1. The problem asks for the constant of proportionality (unit rate) between Goblins (x) and power points (y) from the graph. 2. The constant of proportionality in a direct variation is given by the formula $$k = \frac{y}{x}$$ where $k$ is the unit rate. 3. From the graph, the line passes through the origin $(0,0)$ and the point $(6,10)$. 4. Using the point $(6,10)$, calculate the unit rate: $$k = \frac{10}{6} = \frac{5}{3} \approx 1.67$$ 5. However, the problem states the answer should be a whole number and also mentions "5 power points per goblin". 6. This suggests the graph or problem might have a typo or the unit rate is approximated or rounded. 7. If the unit rate is exactly 5 power points per goblin, then the point should be $(1,5)$ or multiples thereof. 8. Since the graph shows $(6,10)$, the exact unit rate is $\frac{10}{6} = \frac{5}{3}$. 9. Therefore, the constant of proportionality is $\boxed{\frac{5}{3}}$ or approximately 1.67 power points per goblin. 10. If the problem insists on a whole number, the closest whole number unit rate is 2 power points per goblin. Final answer: The constant of proportionality is $\frac{5}{3}$ (approximately 1.67) power points per goblin.