It is certainly possible, but by no means necessary.
The IVT only applies to continuous functions, and money comes in discrete steps.
Ellie might have gone from having $102.37 to only having $93.18, depending on what she bought.
Or, she might have spent $195 on one item, and gone right from 200 to 5 in one leap.
Ellie has 200 dollars in her wallet at 10:00 AM when she goes to the mall. Afterwards, at 4 PM she has only 5 dollars left.
Is it possible that Ellie had exactly 100 dollars at one point?
Explain.
My guess to this question would be yes and I would use the Intermediate Value Theorem to back up my claim.
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