A company produces items in small batches. The machinery needs to warm up before the items can be produced. The scatterplot show
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
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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Answer:
k = 3
Step-by-step explanation:
Given that y and x are directly related then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 81 when x = 27
k = =
= 3
Notice that for this question, they are providing you with:
1) The slope of the line (4)
2) a point on the plane through which the line goes (6, -2)
So you can directly use for this the "point-slope" form of a line which is as follows:
This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.
So, let's use the info they gave you to complete this:
which we can work out a little more:
And even a little more to finish the equation of the line in its standard slope-intercept form:
So the equation of the line is: