Question
As a school bus driver, Dakota takes pride in safely taking the neighborhood children to school every day. At the beginning of this school year, Dakota was excited when she was given a much newer bus to drive her route.
This graph shows the relationship between the number of school days Dakota has been driving her new bus, x, and the total number of miles the bus has been driven, y.
Do x and y have a proportional relationship?
yes
no
This graph shows the relationship between the number of school days Dakota has been driving her new bus, x, and the total number of miles the bus has been driven, y.
Do x and y have a proportional relationship?
yes
no
Answers
GPT-4o mini
To determine if x (the number of school days) and y (the total number of miles driven) have a proportional relationship, we need to check whether the ratio of y to x is constant. In a proportional relationship, as x increases, y must increase in a consistent ratio—meaning for each additional school day, the total miles driven should increase by the same amount.
1. **If the graph is a straight line that passes through the origin (0,0)**: This would indicate a proportional relationship, as the ratio of miles per school day remains constant.
2. **If the graph is not a straight line or does not pass through the origin**: This would indicate that there isn't a constant ratio, and therefore, x and y do not have a proportional relationship.
Without seeing the graph, I can't definitively answer yes or no. However, if you know the characteristics of the graph, you can use the descriptions above to conclude if there is a proportional relationship.
If you confirm that the relationship indeed shows a constant ratio and passes through the origin, the answer would be **yes**. If it doesn't, the answer would be **no**.
1. **If the graph is a straight line that passes through the origin (0,0)**: This would indicate a proportional relationship, as the ratio of miles per school day remains constant.
2. **If the graph is not a straight line or does not pass through the origin**: This would indicate that there isn't a constant ratio, and therefore, x and y do not have a proportional relationship.
Without seeing the graph, I can't definitively answer yes or no. However, if you know the characteristics of the graph, you can use the descriptions above to conclude if there is a proportional relationship.
If you confirm that the relationship indeed shows a constant ratio and passes through the origin, the answer would be **yes**. If it doesn't, the answer would be **no**.