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Savings from Discounted Registration: $25 Savings per day if implementing ROB: The savings would then be: $104 - $79 = $25 for one day The saving for two days would be: $50
A study has shown that if this registration discount is equal to at least half the potential savings of an attendee's particular cost-saving strategy, the attendee is much more likely to reserve a room within the block.
half of $50= $25 which is equal to Savings from Discounted Registration .
Your logic is sound but read the question once again. It is asking whether a person would spend less by using the ROB. The answer is yes, because $50>$25.
Now lets change the question.
Is an HMHPA attendee likely to stay in the block or to use the ROB? Then the answer would be: the attendee would most likely stay in the block because the registration discount is equal to at least half the potential savings in the ROB strategy.
So basically, the question is simply asking which number is greater, not about the likelihood of an attendee staying within the block. Hope this makes sense!