Information and IdeasEasy–MediumInference from two proportional changes
Information and Ideas practice question
Since the café introduced a loyalty card that gives a free coffee after nine purchases, the average customer has visited twice as often, but average spending per visit has fallen by a third. Taken together, these figures suggest that the card has ____
Which choice most logically completes the text?
- A. raised total spending per customer, though by less than the doubling of visits alone would suggest.Correct
- B. reduced the total amount each customer spends at the café.
- C. had no effect on how often customers visit.
- D. made the café's coffee cheaper to produce.
Answer: A. raised total spending per customer, though by less than the doubling of visits alone would suggest.
Twice the visits at two-thirds the spending per visit is 2 × 2/3 = 4/3 of the original total — an increase, but smaller than a doubling.
Why the other answers are wrong
- B. reduced the total amount each customer spends at the café.
- 4/3 of the original is more, not less.
- C. had no effect on how often customers visit.
- The text says visits doubled.
- D. made the café's coffee cheaper to produce.
- Production costs aren't mentioned.
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