What form is issued to a client at application who is 25 years old, works 20 hours per week at $7.50 per hour, and has no children?

The correct form issued to a client at application in this context is DSS-8640. This form is typically utilized for the Food and Nutrition Services program in North Carolina to assess an individual's eligibility for benefits based on their income and other relevant criteria.

Given the client’s age, work hours, and income level, the DSS-8640 is specifically designed to gather the necessary information regarding financial and household circumstances for program eligibility determination. The form ensures that all pertinent details are collected to evaluate how the client meets the income guidelines for assistance.

The other forms listed serve different purposes within the broader context of social services. For example, other forms may be involved in different programs or require different information that does not pertain to the specific application process for Food and Nutrition Services in this case. Thus, the DSS-8640 is the appropriate choice for this situation, focusing on the assessment needed for someone applying for food assistance at the specified income level.