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 dara points to prove her claim and expresses the data points as ( x .y) coordinate pairs. Which of the following actions could Sara take to prove her claim?

1 answer

To prove her claim that the number of pages she has read is proportional to the number of minutes she has spent reading, Sara needs to collect data points that show a linear relationship between the number of pages read (y-coordinate) and the number of minutes spent reading (x-coordinate).

1. She could record the number of pages read after reading for different amounts of time, such as 10 minutes, 20 minutes, 30 minutes, and so on. This will help her determine if the relationship between the number of pages read and the time spent reading is linear.

2. She could record the number of pages read after reading for the same amount of time on multiple occasions. For example, she could read for 15 minutes three times and record the number of pages read each time. This will help her determine if the relationship between the number of pages read and the time spent reading is consistent.

3. She could compare the number of pages read during different reading sessions of varying lengths. For example, she could read for 20 minutes on one occasion and record the number of pages read, and then read for 40 minutes on another occasion and record the number of pages read. This will help her determine if the relationship between the number of pages read and the time spent reading is proportional or if there are other factors at play.

Overall, Sara should collect data that involves varying the time spent reading and measuring the corresponding number of pages read to establish a linear relationship and prove her claim.