Question

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

Answer 1

the solution to this system and what the solution represents is that every month increase by one there is a 12 going out

Answer 2

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.