Final answer:
The transaction classified as an exchange transaction is 'c. Fees charged for the use of an athletic field at a city park'. It involves a direct and equal exchange of value between the city and the individual using the park service.
Step-by-step explanation:
The transaction classified as an exchange transaction rather than a nonexchange transaction is c. Fees charged for the use of an athletic field at a city park. Exchange transactions are those where each party receives and gives up essentially equal values; in this case, the city provides access to the athletic field and the user pays a fee for its use. The fees are directly linked to the service provided, indicating a clear exchange of value.
In contrast, the other transactions listed are examples of nonexchange transactions. A state grant for a smoking cessation program (a) involves the transfer of resources for a specific purpose without a direct exchange of equal value. A bequest left by a former mayor (b) is a unilateral transfer of assets upon death and involves estate and gift taxes. Lastly, personal property taxes (d) are compulsory charges imposed without a direct exchange for specific benefits received.