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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
The graph represents the total charge, in dollars, by an electrician for hours of work. The electrician charges a onetime fee plus an hourly rate. What is the best interpretation of the slope of the graph?
ExplanationShow
Choice A is correct. It’s given that the electrician charges a onetime fee plus an hourly rate. It's also given that the graph represents the total charge, in dollars, for hours of work. This graph shows a linear relationship in the xy-plane. Thus, the total charge , in dollars, for hours of work can be represented as , where is the slope and is the y-intercept of the graph of the equation in the xy-plane. Since the given graph represents the total charge, in dollars, by an electrician for hours of work, it follows that its slope is , or the electrician’s hourly rate.
Choice B is incorrect. The electrician's onetime fee is represented by the y-coordinate of the y-intercept, not the slope, of the graph.
Choice C is incorrect and may result from conceptual errors.
Choice D is incorrect and may result from conceptual errors.
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