Acompany produces items in small batches. the machinery needs to warm up before the items can be produced. the scatterplot shows the time needed to produce batches of different numbers of items. based on the line of best fit, which of these statements is true?
The answer is C since the y intercept is 20.
Statement C is true.
In this question we will go through each statement.
(A). The equipment starts producing items after about 25 minutes of warning up - False
Because machine takes 20 minutes to produce the items.
(B). Each item requires about 12 minutes of production time - False
(C). The equipment starts producing items after about 20 minutes of warming up - True
(D) Each item requires about 3 minutes of production time. - False
The correct option is A.
The equation of best fit is
Where, y is time needed to produce batches of different numbers of items and x is number of items in a batch.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
On comparing both equations we get m=8 and b=20.
It means initial time is 20 or it takes about 20 minutes for the equipment to warm up.
Since m=8, so the production time increases by 8 minutes as the number of items in a batch increases by 1.
Therefore, the correct option is A.
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