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Data Insights (DI) Butler 2023-24 [Question #56, Date: Oct-19-2023] [Click here for Details]
The following graph shows the per-unit production cost (in dollars) of a microchip at various quantities produced. The solid line is the trend line of unit costs as production quantity increases. The dotted line connects the points representing minimum and maximum production levels.
Attachment:
2.jpg [ 102.46 KiB | Viewed 7908 times ]
If chip production were increased from 100,000 to 200,000, the cost per chip would decrease by approximately .
The average rate of change in the cost per chip, as represented by the slope of the dotted line, is approximately dollars per thousand chips produced.
Show SpoilerAdditional Question
If the point representing production of ____________ chips were eliminated, the average rate of change would be closer to the slope of the trend line.
(A) 10,000
(B) 25,000
(C) 50,000
(D) 100,000
(E) 200,000
Answer: A
(A) 10,000
(B) 25,000
(C) 50,000
(D) 100,000
(E) 200,000
Answer: A
Question #1 based on the same graph is available here
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Official Explanation
If the point representing production of ____________ chips were eliminated, the average rate of change would be closer to the slope of the trend line.
Explanation
To bring the average rate of change closer to the slope of the trend line, the rate of decline must be flattened. Removing points from the high end of the production scale will result in a line that has almost the same vertical drop over a shorter horizontal distance, making the slope steeper. Removing midrange points will have no effect, but removing the first point drops one end of the dotted line, flattening its slope.
Answer: A
If the point representing production of ____________ chips were eliminated, the average rate of change would be closer to the slope of the trend line.
Explanation
To bring the average rate of change closer to the slope of the trend line, the rate of decline must be flattened. Removing points from the high end of the production scale will result in a line that has almost the same vertical drop over a shorter horizontal distance, making the slope steeper. Removing midrange points will have no effect, but removing the first point drops one end of the dotted line, flattening its slope.
Answer: A
