Final answer:
The function used to model overtime pay is a piecewise function because it accurately reflects the different rates of pay for standard and overtime hours worked.
Step-by-step explanation:
The correct function used to model overtime pay is C. Piecewise. Overtime pay is typically calculated based on a standard pay rate up to a certain number of hours, and then a different (usually higher) rate for the hours worked beyond that. This is an example of a situation where the pay does not increase at a constant rate but varies depending on the number of hours worked. A piecewise function allows us to describe such situations with different linear equations applying to different intervals of the independent variable, in this case, hours worked.
Linear equations are equations of the form y = mx + b and are used to model situations where there is a constant rate of change. Although part of the overtime model involves a linear equation for the initial standard hours worked, the entire model of overtime pay is best described by a piecewise function due to the change in rate.
Quadratic equations are used to model scenarios where the rate of change itself varies, which is not applicable for most overtime scenarios. The option of Piece rate is not a type of function, but rather a pay system where workers are paid a fixed sum for each unit produced or action performed, which is also not fitting for overtime pay situations.