h(x) = –2x + 200 function represents the difference between the moving companies rates h(x) = f(x) – g(x)
<u>Solution:</u>
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.
