1. **State the problem:** We are given a graph representing the relationship between the number of books read ($x$) and the number of points earned ($y$). We need to determine which statements about the graph are true. 2. **Analyze the graph:** The graph is a straight line starting at the origin $(0,0)$ and passing through approximately $(10,100)$. 3. **Find the equation of the line:** The slope $m$ is given by the change in $y$ over the change in $x$: $$m = \frac{100 - 0}{10 - 0} = \frac{100}{10} = 10$$ 4. **Write the equation:** Since the line passes through the origin, the equation is: $$y = 10x$$ 5. **Check each statement:** - A. The graph of the equation is $y = \frac{1}{10}x$. This is false because the slope is 10, not $\frac{1}{10}$. - B. The number of points earned for reading 20 books is $200$. Using $y=10x$, for $x=20$: $$y = 10 \times 20 = 200$$ This is true. - C. The constant of proportionality is 1 point for every 10 books read. The constant of proportionality is the slope, which is 10 points per book, so this is false. - D. The relationship is proportional because the graph starts at the origin. This is true; proportional relationships always pass through the origin. - E. The point $(1,10)$ represents the unit rate of 10 points for every book read. This is true because at $x=1$, $y=10$. **Final answers:** B, D, and E are true.