The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences. January (1) 2 3 February (2) 4 4 March (3) 6 5 April (4) 8 6

Month:            # of orders in   # of orders out:

January (1)      3                      3

February (2)    6                      4

March (3)        9                       5

April (4)          12                      6

The solution may be found by graphing the data.

In the same coordinate system, you can graph the number of orders in and the number of orders out, as a function of the month.

Then, you can find the trend of every set of data.

You will find that the number of orders is linearly related to the month and that the same is true for a number of orders out.

The solutions are:

y = 3 x, where y is the number of orders in, and x is the number of the month

z = x + 2, where z is the number of orders out, and x is the number of the month.

Step-by-step explanation:

If your "system of equations" is supposed to be ...

 f(x) = g(x)

the two function values are equal in January, for x = 1. The number of imports is equal to the number of exports in that month. Both f(x) and g(x) are 3 for x=1.

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There are no "equations" involved here. There are only tables for f(x) and g(x). We assumed the relevant equation was f(x)=g(x), but that is not given as part of the problem statement.

If your "system of equations" is ...

y = f(x)

y = g(x)

then the solution is (x, y) = (1, 3) as described above.