1. **State the problem:** We are given points on a graph representing distance traveled (in inches) over time (in seconds): (0,0), (1,1.5), and (3,4.5). We need to interpret each point and find the unit rate (speed) in inches per second. 2. **Interpret each point:** - At (0,0): The object is at 0 inches after 0 seconds, meaning it hasn't started moving. - At (1,1.5): The object has traveled 1.5 inches in 1 second. - At (3,4.5): The object has traveled 4.5 inches in 3 seconds. 3. **Find the unit rate (speed):** The unit rate is the distance traveled per 1 second. We calculate it using the formula: $$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$ Using the point (1,1.5): $$\text{Speed} = \frac{1.5}{1} = 1.5 \text{ inches per second}$$ Using the point (3,4.5): $$\text{Speed} = \frac{4.5}{3} = 1.5 \text{ inches per second}$$ Both points give the same speed, confirming the unit rate. 4. **Conclusion:** The object travels at a constant speed of 1.5 inches per second. **Final answer:** The unit rate is 1.5 inches per second.