SOLUTION: A customer has a $100 gift card to a local coffee shop. Suppose the customer, using the card, spends $5 per day at the shop. Which recursive rule represents the card’s remaining
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Question 1133767: A customer has a $100 gift card to a local coffee shop. Suppose the customer, using the card, spends $5 per day at the shop. Which recursive rule represents the card’s remaining balance B, in dollars, after using the card for t days? Answer by greenestamps(13200) (Show Source):
The instructions are self-contradictory. A recursive rule does not represent the balance after t days; it represents the balance after n+1 days in terms of the balance after n days:
B(n+1) = B(n)-5
That recursive rule says "the balance after n+1 days is $5 less than the balance after n days.
A rule that gives the balance after t days is
B(t) = 100-5t
That is an explicit formula -- not a recursive one.