Amoving 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.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

u bout ugly as   a mf

step-by-step explanation: lol