QUESTION IMAGE
Question
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?
Step1: Recall proportional relationship
A proportional relationship is of the form \( y = kx \), where \( k \) is the constant of proportionality, and the graph passes through the origin \((0,0)\).
Step2: Check the graph's y-intercept
From the graph, when \( x = 0 \) (number of school days is 0), \( y = 25 \) (miles driven is 25). So the y - intercept is 25, not 0.
Step3: Conclusion about proportionality
Since the graph does not pass through the origin \((0,0)\) (it has a y - intercept of 25), the relationship between \( x \) and \( y \) is not proportional (it is a linear relationship \( y=mx + b\) with \( b = 25
eq0\)).
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