Christian claims that the number of math pages he has read is proportional to the number of minutes that he has spent reading. He collects data points to prove his claim and expresses the data points as (x,y) coordinate pairs.

Question

Which of the following actions could Christian take to prove his claim?





Group of answer choices

Graph his points and see that they form a straight line and his starting point is the origin.

Graph his points and see that they form a straight line.

Graph his points and see that the graph is not a straight line.

Answer 1

To prove his claim that the number of math pages he has read is proportional to the number of minutes he has spent reading, Christian should take the following action:

Graph his points and see that they form a straight line and his starting point is the origin.

This is because if the relationship is proportional, the graph will indeed be a straight line that passes through the origin (0,0). Proportional relationships are characterized by the equation \( y = kx \), where \( k \) is a constant and both \( x \) and \( y \) are non-negative. If the points form a straight line without passing through the origin, it would indicate a linear relationship but not proportionality. Conversely, seeing a graph that is not a straight line would indicate that the relationship is not linear, thus disproving his claim.