A moving company's moving rates can be represented by the function f (x) = 3x + 400, where x is the number of miles for the move.

Another moving company's rates can be represented by the function g (x) = 5x + 200.

Which function represents the difference between the moving companies' rates, h (x) = f (x) - g (x) ?

h (x) = 2x + 200

h (x) = - 2x + 200

h (x) = 5x - 200

h (x) = 5x + 600

h (x) = - 2x + 200 function represents the difference between the moving companies rates h (x) = f (x) - g (x)

Solution:

Given that,

For company A, monthly rates can be represented by function f (x) = 3x + 400, for x number of miles.

For company B, moving rates can be represented by function g (x) = 5x + 200, for x number of miles.

Need to identify which is the correct expression for difference between the company moving rate that is

h (x) = f (x) - g (x)

On substituting given value of f (x) and g (x) in (1) we get

h (x) = (3x + 400) - (5x + 200)

=> h (x) = 3x - 5x + 400 - 200

=> h (x) = - 2x + 200

Hence second option that is h (x) = - 2x + 200 is correct representation of difference between moving companies rates.