Determine if the graph shows a proportional relationship.
Graph with x axis labeled distance miles and y axis labeled time hours. A line begins at point 0 comma 0 and continues to the right.
No, it is not proportional because the line does not intersect with the origin.
No, it is not proportional because the x-axis and y-axis are not labeled correctly.
Yes, it is proportional because it is a line that intersects with the origin.
Yes, it is proportional because the x-axis and y-axis are labeled correctly.
No, it is not proportional because the line does not intersect with the origin.
No, it is not proportional because the line does not intersect with the origin.
To determine if the graph shows a proportional relationship, we need to understand what a proportional relationship means. In a proportional relationship, the ratio of y-values to x-values remains constant.
Looking at the given graph, we see that it is a line that begins at the origin (0,0) and continues to the right. This line represents the relationship between distance (x-axis) and time (y-axis).
To determine if the relationship is proportional, we need to check if the ratio of y-values to x-values remains constant. In other words, for every increase in distance (x), is the corresponding increase in time (y) consistent?
Since the line intersects the origin (0,0), it means that when the distance is 0, the corresponding time is also 0. In a proportional relationship, this is a necessary condition because it signifies that no time was taken to cover 0 distance.
Therefore, the correct answer is:
Yes, it is proportional because it is a line that intersects with the origin.