Problem-Solving and Data AnalysisHardPredicting from a line through data
Problem-Solving and Data Analysis practice question
x (minutes): 1, 2, 3, 4
y (pages): 10, 14, 18, 22
The table shows the number of pages y a copier had printed x minutes after being switched on. The data lie exactly on a line. How many pages will it have printed after 10 minutes?
Answer: 46
Slope: (14 − 10)/(2 − 1) = 4 pages per minute. y = 4x + 6 (since 10 = 4 + 6). At x = 10: 46.
Common wrong answers
- If you answered 40
- 40 uses y = 4x, forgetting the 6 pages at x = 0.
- If you answered 50
- 50 uses y = 4x + 10, taking the first row's y as the intercept.
- If you answered 60
- 60 uses a slope of 6.
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