Question

c. the graph shows how the average annual number of working hours has changed in the united states over time. what function model might you use to describe this relationship? annual working hours per worker

Explanation:

Step1: Analyze the graph trend

The graph shows a non - linear trend. First, there is a relatively slow decrease, then a steeper decrease, and then a more stable (but still slightly decreasing) trend.

Step2: Consider function types

A piece - wise function can be used. A piece - wise function is defined by different expressions in different intervals. For the initial slow - decreasing part (say from 1870 - 1920), we can have one linear or quadratic sub - function. For the steeper - decreasing part (1920 - 1940), another sub - function (maybe a steeper linear or a different quadratic). And for the later part (1940 - 2017), a third sub - function (a nearly constant or very slowly decreasing function).

Answer:

A piece - wise function.