Information and IdeasVery hardRecognising that a rate and a total move differently
Information and Ideas practice question
A city's population and its number of libraries:
2000: population 200,000; 10 libraries
2010: population 250,000; 11 libraries
2020: population 330,000; 12 libraries
Which statement is best supported by the data?
- A. Although the number of libraries rose, the number of residents per library rose from 20,000 to 27,500.Correct
- B. The number of residents per library fell over the period.
- C. The city added libraries faster than its population grew.
- D. The number of libraries doubled between 2000 and 2020.
Answer: A. Although the number of libraries rose, the number of residents per library rose from 20,000 to 27,500.
Residents per library: 200,000/10 = 20,000; 330,000/12 = 27,500. Libraries rose, but not as fast as people.
Why the other answers are wrong
- B. The number of residents per library fell over the period.
- The ratio rose, from 20,000 to 27,500.
- C. The city added libraries faster than its population grew.
- Population grew 65%; libraries grew 20%.
- D. The number of libraries doubled between 2000 and 2020.
- 12 is not double 10.
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