MHB 4.2.8 AP calculus Exam Integration limits

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The discussion revolves around a calculus exam question that presents a discrepancy between the differential notation (dx) and the variable options (dt). A participant speculates that assuming the function is a horizontal line could lead to a solution where the area is halved while keeping the limits constant. The conversation includes a suggestion to use substitution, specifically letting x equal t/2, to resolve the issue. Participants are encouraged to share their opinions and suggestions on the problem. The focus remains on clarifying the integration limits and the implications of the variable changes.
karush
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ok I posted a image to avoid any typos but was wondering why the question has dx and options are in dt

I picked C from observation but again that was assuming f was a horizontal line of which it could be something else
that way the limits stay the same but the area is cut in halfopinions, suggestions, ...

the heffty beta version of the pdf is here
https://documentcloud.adobe.com/link/track?uri=urn:aaid:scds:US:8f27948c-3886-40ab-9586-415cae96da97
 

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let $x = \dfrac{t}{2}$

proceed with the substitution...