Answer:
The detail that most adequately backs the idea that people believe Kate must be given reward for her deeds would be:
C). “Then the people of Iowa awarded her a gold medal, and the railroad gave her one hundred dollars and a lifetime railroad pass.”
The quotation "Then...pass" most adequately backs the idea regarding people's opinion that Kate needs to rewarded for her noble actions.
The detail about her receiving "gold medal...one hundred dollars...railroad pass" shows that her actions require a better and fair reward.
This also shows people owe her a lot and therefore, wants to compensate her for it.
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