The line begins on the y axis above the x axis. The line slants sharply up from left to right.

Question

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?

Accepted Answer

Choice A is correct. It&rsquo;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 x hours of work. This graph shows a linear relationship in the xy -plane. Thus, the total charge y , in dollars, for x hours of work can be represented as y = m x + b , where m is the slope and 0 , b 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 x hours of work, it follows that its slope is m , or the electrician&rsquo;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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