The graph shown models the number of candy bars a certain machine wraps with a label in seconds.
- The line slants sharply up from left to right.
- The line passes through the following points:
- (0 comma 0)
- (2 comma 80)
- (4 comma 160)
- (6 comma 240)
According to the graph, what is the estimated number of candy bars the machine wraps with a label per second?
Correct answer: B
Explanation
Choice B is correct. For the graph shown, the x-axis represents time, in seconds, and the y-axis represents the number of candy bars wrapped. The slope of a line in the xy-plane is the change in for each -unit increase in . It follows that the slope of the graph shown represents the estimated number of candy bars the machine wraps with a label per second. The slope, , of a line in the xy-plane can be found using any two points, and , on the line and the slope formula . The graph shown passes through the points and . Substituting these points for and , respectively, in the slope formula yields , which is equivalent to , or . Therefore, the estimated number of candy bars the machine wraps with a label per second is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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