Question

the amount that jerry charges for his consultation services is based on the number of hours he works. the charge is $100 for any time up to 1 hour, $200 for any time over 1 hour and up to 2 hours, $300 for any time over 2 hours and up to 3 hours, and so on. use the graph to classify the function that models this situation. the function that models this situation is select choice.

Explanation:

Step1: Analyze the graph's structure

The graph consists of horizontal line segments. For example, from \( x = 0 \) to \( x = 1 \), \( y = 100 \); from \( x = 1 \) to \( x = 2 \), \( y = 200 \), etc. Each segment is constant over an interval of \( x \) (time in hours).

Step2: Identify the function type

A step function (or piece - wise constant function) has a constant value on each of the intervals in its domain. The graph here has horizontal segments (constant cost for each hour - interval), which matches the definition of a step function (also called a piece - wise constant function or a greatest integer function - like in structure, though here it's a "ceiling" - like step function for cost based on time intervals).

Answer:

The function that models this situation is a step function (or piece - wise constant function).