Which statement is best supported by the information in the table? The fee at bank A will always be more than the fee at bank D.
The fee at bank A will always be less than the fee at bank D. The fee at bank A will be more than the fee at bank D only when the checking account balance is less than $400. The fee at bank A will be more than the fee at bank D only when the checking account balance is more than $400.
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Recall that
Take it one piece at a time. For
If we shift the argument by 1 and scale by -5, we have
so if we subtract this from
For the next piece, we can add another scaled and shifted step like
so that
For the last piece, we add one more term:
and so putting everything together, we get