The graph represents the total charge, in dollars, by an electrician for x hours of work. The electrician charges a onetime fee plus an hourly rate. What is the best interpretation of the slope of the graph?
Correct answer: D. The electrician's hourly rate
- A. The total amount that the electrician charges
- B. The electrician's onetime fee
- C. The maximum amount that the electrician charges
- D. The electrician's hourly rate
Explanation
The correct answer is that the slope of the graph represents the electrician's hourly rate. In a linear equation of the form y = mx + b, where y represents the total charge and x represents the hours worked, m is the slope which indicates the rate of increase in total charge per hour of work, hence the hourly rate. The y-intercept, b, represents the initial or onetime fee charged by the electrician. Other options incorrectly interpret the role of the slope in the graph: the onetime fee is the y-intercept, and the total or maximum charge is not directly determined by the slope alone.
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