Final answer:
The option that does not represent how William Jennings Bryan appealed to Populists is A. Support for gold standard. The other options, free silver, opposition to trusts, and critique of big business, are all consistent with Bryan's platform. He was known for his 'Cross of Gold' speech, which vehemently opposed the gold standard.
Step-by-step explanation:
The answer to the question 'Which of the following does not represent one of the ways in which William Jennings Bryan appealed to Populists?' is A. Support for gold standard. William Jennings Bryan's appeal to the Populists included his advocacy for free silver, his opposition to trusts, his critiques of big business, and his support for issues like the subtreasury system. Bryan, being from a farm country like Nebraska, naturally appealed to the primarily agrarian Populist supporters. He did not support the gold standard; in fact, he famously criticized it in his 'Cross of Gold' speech at the Democratic convention in Chicago. The gold standard was actually the policy of his opponent, William McKinley, and the Republican Party, who advocated for maintaining the gold standard and high protective tariffs, considered pro-business policies.