1. **State the problem:** We are given the distance functions for a minivan and a pickup truck as functions of time in hours, $x$. The minivan's distance is given by $y=45x$. We need to find the speed (rate of change) of both vehicles. 2. **Recall the formula:** Speed is the rate of change of distance with respect to time, which is the slope of the distance-time graph. For a linear function $y=mx$, the rate of change is the coefficient $m$. 3. **Minivan's speed:** Given $y=45x$, the rate of change is $45$. This means the minivan travels 45 miles per hour. 4. **Pickup truck's speed:** From the graph description, the pickup truck's line starts at $(0,0)$ and reaches nearly 90 miles at $x=1$ hour. The rate of change is calculated as $$\text{rate} = \frac{\text{change in distance}}{\text{change in time}} = \frac{90 - 0}{1 - 0} = 90.$$ So, the pickup truck's speed is 90 miles per hour. 5. **Summary:** - Minivan speed: 45 miles per hour - Pickup truck speed: 90 miles per hour This shows the pickup truck is faster than the minivan.