Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as
(
x
,
y
)
coordinate pairs.
In order to prove her claim, Sara collects several data points that represent the relationship between the number of pages she has read (x) and the number of minutes she has spent reading (y). Each data point is represented as a coordinate pair (x, y).
For example, Sara may collect the following data points:
(10, 20) - This means that when Sara has read 10 pages, she has spent 20 minutes reading.
(20, 40) - This means that when Sara has read 20 pages, she has spent 40 minutes reading.
(30, 60) - This means that when Sara has read 30 pages, she has spent 60 minutes reading.
Sara then plots these data points on a graph to show the relationship between x (number of pages read) and y (number of minutes spent reading). If the points fall on a straight line passing through the origin (0, 0), it would provide evidence for Sara's claim that the number of pages she has read is proportional to the number of minutes she has spent reading.