Final answer:
The total number of smartphones assembled by a worker, represented by n(t), is best modeled with a production function, which may be linear or non-linear depending on the production rate's constancy or variability over time.
Step-by-step explanation:
If the total number of smartphones assembled by an average worker at a certain electronics company t hours after starting work at 8 a.m. is given by n(t), the type of mathematical function that would best represent n(t) can vary depending on the specific characteristics of the production process. However, commonly, this type of relationship is modeled with a production function. A production function is an equation that explains the engineering relationship between inputs and outputs.
For example, if the worker's output increases at a constant rate throughout the day, then n(t) could be represented by a linear function, indicating a steady production rate over time. On the other hand, if there are factors such as fatigue or efficiency improvements that affect the worker's production rate, then a non-linear function may be more appropriate. This could be a quadratic function if the rate of production slows down over time, or an exponential function if the rate increases.