To analyze the distance traveled by the minivan and the pickup truck, we start with the equation you provided for the minivan:
\[ y_{\text{minivan}} = 45x \]
This indicates that the minivan travels at a constant speed of 45 miles per hour (mph).
To compare the rate of change of the minivan to that of the pickup truck, we need the equation for the pickup truck. If you provide the equation for the pickup truck, I can help you compare the two rates of change.
The rate of change in this context refers to the speed of each vehicle, which is the slope of the distance versus time graph. The slope of the minivan's graph is 45 mph.
Once we have the pickup truck's equation, we can determine its speed (slope) and compare it to the minivan's speed. If the pickup truck travels a different distance per hour, we can see how they stack up against each other.
Let me know if you have the pickup truck's equation!