Final answer:
The cost function for Aaron's Word Processing Service is C(h) = 32h + 31.50, where 'C' represents the total cost and 'h' is the number of hours worked.
Step-by-step explanation:
Cost Function for a Service
For Aaron's Word Processing Service, the total cost for a customer can be modeled with a linear function. The service has a fixed one-time charge and a variable charge based on the number of hours worked. The fixed charge is $31.50 and the charge per hour is $32. Therefore, the equation to express the total cost (C) depending on the number of hours (h) is C(h) = 32h + 31.50.
To use this function, simply multiply the number of hours Aaron spends on a project by 32 and then add 31.50 to find the total cost for the service.