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.
Which of the following actions could Sara take to prove her claim?
1. Sara could record the number of pages she has read in her book after reading for a specific number of minutes, and create a scatter plot of the data points. If the scatter plot shows a clear linear relationship (i.e. the points roughly form a straight line), this would provide evidence for her claim.
2. Sara could choose different time intervals (e.g. 10 minutes, 20 minutes, 30 minutes, etc.) of reading and record the corresponding number of pages she has read. She could then calculate the ratio of pages read to minutes spent for each time interval, and check if the ratios are approximately equal for all intervals. If the ratios are consistent, this would support her claim.
3. To further strengthen her claim, Sara could compare her data points with other people who have read the same book. By collecting data from multiple individuals and creating scatter plots, she can see if there is a consistent linear relationship between the number of pages read and the time spent reading for different individuals. If all the scatter plots show similar trends, this would provide further evidence for her claim.