1. **Problem Statement:** A student built a ramp for a model car and recorded two sets of data: the height vs. distance of the ramp and the velocity vs. time of the car. 2. **Understanding the Ramp Graph:** The ramp graph shows height (in centimeters) decreasing as distance (in centimeters) increases, indicating a downward slope. 3. **Understanding the Velocity Graph:** The velocity graph plots velocity $y$ (in centimeters per second) against time $x$ (in seconds). The velocity values appear to follow the function $y = 5x$. 4. **Formula for Velocity:** The velocity $y$ at time $x$ seconds is given by: $$y = 5x$$ This means the velocity increases linearly by 5 centimeters per second every second. 5. **Interpreting the Data:** - At $x=0$ seconds, velocity $y=0$ cm/s. - At $x=1$ second, velocity $y=5 \times 1 = 5$ cm/s. - At $x=2$ seconds, velocity $y=5 \times 2 = 10$ cm/s. - At $x=3$ seconds, velocity $y=5 \times 3 = 15$ cm/s. - At $x=4$ seconds, velocity $y=5 \times 4 = 20$ cm/s. - At $x=5$ seconds, velocity $y=5 \times 5 = 25$ cm/s. 6. **Conclusion:** The velocity of the car increases linearly with time as it moves down the ramp, consistent with the function $y=5x$. This relationship can be used to predict the velocity at any given time during the car's travel down the ramp.