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Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents. Month No. of orders in No. of orders out January (1) 3 1 February (2) 4 3 March (3) 5 5 April (4) 6 7

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Find the slope of the line using two sets of the data entries.  m = (y2-y1)/(x2-x1).  Orders out = y value and orders in = x value. I used (3,1) and (6,7) .  m=(7-1)/(6-3) which gave me a slope of 2.  I then plugged it into the point-slope formula y-y1 = m(x-x1). y-1=2(x-3) which gave me y=2x-5.  I would tell my boss for every increase by 1 for an order in creates and output of 2.  
shristiparmar1221

This question is based on point-slope formula. Thus, I would tell my boss for every increase by 1 for an order in creates and output of 2.  

Given:

Month                  No. of orders in                      No. of orders out

January (1)                  3                                                    1

February (2)                4                                                    3

March (3)                     5                                                    5

April (4)                       6                                                     7

According to the question,

Now, finding the slope of the line using two sets of the data entries.

[tex]m = \dfrac{ (y_2-y_1)}{ (x_2-x_1) }[/tex]

Let orders out be y value and orders in be x value.

Now, calculating slope of  (3,1) and (6,7). We get,

[tex]m = \dfrac{ 7-1}{ 6-3} = \dfrac{6}{3} = 2\\\\m=2[/tex]

Slope, m= 2.

Now, putting the value of slope m =2 into the point-slope formula.

[tex]y-y_1 = m(x-x_1)[/tex]

⇒ y - 1 = 2 (x - 3),

Therefore,   y = 2x-5.

Thus, from the above equation, I would tell my boss for every increase by 1 for an order in creates and output of 2.  

For more details, prefer this link:

https://brainly.com/question/10668266