Question 43·Easy·Two-Variable Data: Models and Scatterplots
The scatterplot shows the number of pages a student read each day during various weeks of a reading program.
During which of the following time periods did the greatest increase in the number of pages read per day take place?
For scatterplot questions about the greatest increase, treat each answer choice like a subtraction problem: read the two -values and compute . Then compare the results and pick the interval with the largest positive change.
Hints
Look at the y-values
For each answer choice, read the two plotted points and note their -values.
Find the change
For each interval, compute .
Compare the changes
The correct interval is the one with the largest positive change in .
Desmos Guide
Enter the points in a table
In Desmos, add a table and enter the points:
: 1, 2, 3, 4, 5, 6, 7, 8
: 10, 12, 18, 17, 20, 25, 26, 24
Compare consecutive differences
Compute the increases for the intervals in the answer choices by subtracting consecutive -values (for example, ). Identify which interval has the largest positive difference.
Step-by-step Explanation
Compute the increase in for each interval
From the scatterplot:
- to : goes from to , so the increase is
- to : goes from to , so the increase is
- to : goes from to , so the increase is
- to : goes from to , so the increase is
Select the greatest increase
The largest increase is , so the greatest increase occurred from to .