Question

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.

Answer 1

That's great! To express the data points as (x, y) coordinate pairs, let's choose a convenient variable to represent the number of minutes Sara has spent reading. Let's call it "t".

Now, let's say Sara reads "p" pages after "t" minutes of reading. We can represent this as the coordinate pair (t, p), where "t" represents the minutes and "p" represents the number of pages read.

For example, let's say Sara reads 10 pages after 20 minutes of reading. In this case, the coordinate pair would be (20, 10).

By collecting several such data points, you can plot them on a graph and see if they lie on a straight line passing through the origin (0, 0). If they do, it would support Sara's claim that the number of pages she has read is proportional to the number of minutes she has spent reading.