Hey there!
Your answer: Graph A
We are looking at the y-axis as the y-axis would explains the yard situation. We see that one of the runners started at 10 yards. And the other runner started at 0.
We can see that both runners were aiming for the same direction. 20 yards per 4 seconds. Or, 5 yards per second. Therefore, we see that one runner practically 'cheated' and had a head start.
Your answer: Graph A
The correct option for the graph that shows that one of the runners started 10 yards further ahead of the other is option
Graph A
The reason why the selected option is correct is given as follows:
Known parameters;
The given graphs are the graphs of Distance (covered) in yards to Time (taken) in seconds
The range of the graph is from Distance = 0 m
The domain of the graphs is from t = 0 s, (start time), to t = 4 s
The starting point of the graph is the y-intercept (the point the graph intersects with the y-axis)
Graph A shows that the y-intercept of one of the graphs is at the point representing a distance of 10 yards, while the y-intercept of the other graph starts at a point representing a distance of 0 yards
(A t = 0 s, the location of one of the runners is 10 yards further ahead of the other)
Therefore, one of the runners started 10 yards further ahead of the other
Graph B shows that both straight line graphs have the same y-intercept of 10 yards. Therefore, both runners start at the same point 10 yards from the beginning point
Therefore, the two runners start at the same location
Graph C shows that the y-intercept of one of the graphs is at the point representing 20 yards from the origin or beginning point, while the y-intercept of the other graph is at the origin
Therefore, one of the runners started 20 yards further ahead of the other
Graph D shows that the y-intercept of the both straight line graphs start at the origin and therefore, both runners start at the same location
The correct option that shows a starting distance difference of 10 yards is therefore graph A
Learn more about the intercepts and slopes of graphs here:
https://brainly.com/question/13182978
