Final answer:
The correct linear function for Kloie's part-time earnings, which include a set amount plus an hourly wage, is P(x) = mx + b.
Step-by-step explanation:
The linear function Kloie can use to determine her pay when she works part-time after school, which comprises a set amount plus an hourly wage, is represented by the linear equation form of P(x) = mx + b, where P(x) represents the total pay, m represents the hourly wage, and b represents the set amount she earns each day regardless of hours worked. The correct answer to the question is therefore a) P(x) = mx + b. This equation allows Kloie to calculate her total pay by multiplying her hourly wage by the number of hours (x) and then adding her fixed daily earnings (b).