Problem-Solving and Data AnalysisMediumInterpreting the y-intercept of a model
Problem-Solving and Data Analysis practice question
The number of visitors y to a small museum on a day when x tour buses arrive is modelled by y = 4x + 12. Which of the following is the best interpretation of the number 12 in this model?
- A. The predicted number of visitors on a day when no tour buses arriveCorrect
- B. The number of visitors each tour bus brings
- C. The number of tour buses on a typical day
- D. The maximum number of visitors in a day
Answer: A. The predicted number of visitors on a day when no tour buses arrive
When x = 0, y = 12: the visitors who come without any bus.
Why the other answers are wrong
- B. The number of visitors each tour bus brings
- Visitors per bus is the slope, 4.
- C. The number of tour buses on a typical day
- The model doesn't say how many buses arrive on a typical day.
- D. The maximum number of visitors in a day
- The model has no maximum; y grows with x.
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