The function that represents the difference between the moving companies' rates is:
h(x) = -2x + 200.
The difference of two functions is found subtracting the like terms from the functions.
In this problem, the functions for the rates are given as follows:
Hence the difference is given by:
h(x) = 3x + 400 - (5x + 200) = 3x - 5x + 400 - 200 = -2x + 200.
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