Juan and Rita both rode bicycles from the park to Main Street. The graphs below represent the (2 points) time and distance for each student’s ride. Who rode more slowly? Justify your answer.
Based on the graphs, Rita rode more slowly.
To justify this answer, we can compare the slopes of the two lines. The slope of a line represents the rate of change, or how quickly the distance is changing with respect to time.
Juan's line has a steeper slope, which means he covered more distance in less time compared to Rita. Therefore, Juan rode more quickly.
Rita's line has a shallower slope, which means she covered less distance in more time compared to Juan. Therefore, Rita rode more slowly.
To determine who rode more slowly, we need to compare the slopes of the two graphs. The slope of a distance-time graph represents the speed at which the individual is traveling.
Looking at the graphs, we can see that the slope of Juan's graph is steeper than Rita's. This means that Juan's graph has a larger slope or a greater change in distance over time compared to Rita's.
Since the slope represents speed, this implies that Juan was riding at a faster speed than Rita. Therefore, Rita rode more slowly than Juan.