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The premise is that there has been a RECORD LEVEL OF ATTENDANCE.
The conclusion is that FEWER PEOPLE HAVE A GENUINE INTEREST IN THE ARTS.

The passage links the RECORD LEVEL ATTENDANCE to FEWER PEOPLE with a genuine interest in the arts.
The correct answer must strengthen this link.

Answer choice A: The increase in the NUMBER OF PEOPLE WHO VISIT MUSEUMS MORE THAN ONCE has been greater than the increase in the NUMBER OF VISITS to these museums.
The implication is that the RECORD LEVEL OF ATTENDANCE has been due to an increase in the number of people who visit the museum MORE THAN ONCE.
In other words, there have been more visits, but FEWER VISITORS -- strengthening the conclusion that fewer people have a genuine interest in the arts.

The correct answer is A.

Answer choice B: An interest in the arts cannot be determined by examining levels of museum attendance.
While the passage links the LEVEL OF ATTENDANCE to a LACK OF INTEREST in the arts, answer choice B states that interest in the arts CANNOT BE DETERMINED by examining museum attendance -- thereby WEAKENING the link that the argument is trying to establish.
Eliminate B.

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