The graph shows a handyman's fees, f(x), in terms of the hours worked, x. The fees include a fuel charge and an hourly rate. What is the handyman's hourly rate?
$25
The handyman's hourly rate is determined from the graph, which indicates the total fees as a function of hours worked. By analyzing the slope of the line on the graph, we can deduce that the increase in fees corresponds to an hourly charge of $25.
An hourly rate of $5 would imply that for any significant hours worked, the total fees would be negligible and not reflective of typical handyman charges. The graph clearly shows a steeper slope, indicating a much higher rate.
If the hourly rate were $55, the total fees would increase excessively with hours worked, leading to unrealistic fee amounts for common projects. The graph does not support such a high slope; hence, this choice is incorrect.
While $30 might seem reasonable, the graph indicates a lower slope than what this rate would suggest. If the handyman charged $30 per hour, the total fees would rise too quickly with additional hours, which contradicts the graph's representation.
The slope of the line on the graph reflects an increase of $25 for each hour worked. This consistent rate aligns perfectly with the observed total fees shown, confirming that $25 is indeed the correct hourly rate.
The handyman's hourly rate is established as $25 based on the slope of the graph representing fees in relation to hours worked. The incorrect options reflect either underestimations or overestimations of typical handyman charges. Understanding how to interpret the slope of a linear graph is crucial for determining rates in similar scenarios.
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