Question

luther is passionate about movies and dreams of going to film school. his goal for the next year is to watch every movie that won the academy award for best picture. he’s already seen some of them and now plans to watch one per week until he’s seen them all. this graph shows the relationship between how long (in weeks) luther has followed his plan, x, and the number of best picture winners he has seen, y. do x and y have a proportional relationship?

Explanation:

Assuming the question is "Do \( x \) and \( y \) have a proportional relationship?" (as partially visible at the bottom):

Step1: Recall Proportional Relationship

A proportional relationship has the form \( y = kx \) (passes through the origin \((0,0)\)).

Step2: Analyze the Graph

The graph starts at \((0, 5)\) (when \( x = 0 \), \( y = 5 \)), not \((0,0)\). So it does not satisfy \( y = kx \).

Answer:

No, \( x \) and \( y \) do not have a proportional relationship because the graph does not pass through the origin \((0,0)\) (it starts at \((0, 5)\)).