Jeff drove at a constant speed from Dallas to his home. The graph below shows his distance from Dallas as a function of time. If David drove the same route at a constant but slower speed, how would the slope of the graph of David’s trip compare to the slope of the graph of Jeff’s trip?
A The slope of David’s graph would be zero.
B The slope of David’s graph would be less than
that of Jeff’s graph
C The slope of David’s graph would be the same
as that of Jeff’s graph.
D The slope of David’s graph would be greater
than that of Jeff’s graph.
cant do anything without the graphs to see the behavior
To compare the slopes of Jeff's and David's trip, we need to understand what the slope represents for each graph.
The slope of a distance-time graph represents the speed of the object. In this case, Jeff's graph shows that he drove at a constant speed from Dallas to his home. Therefore, the slope of Jeff's graph represents the speed at which he was driving.
Since David drove the same route but at a slower speed, it means that the slope of David's graph would be smaller than that of Jeff's graph. This is because the slope of a graph is determined by the steepness of the line, and a smaller slope means a less steep line.
Therefore, the answer is B) The slope of David's graph would be less than that of Jeff's graph.