Mr. Martinez hires a plumber to fix his kitchen sink. The plumber charges a one-time fee of $45
and an additional $15 for parts. He also charges
$40 for each hour he works.
A. The cost of hiring the plumber can be
represented by a linear function. Identify the rate
of change and initial value of this function.
Explain what these values represent in terms of
the situation.

Step-by-step explanation:

The $45 fee is a one-time thing and is the initial value of this function.  The rate of change of the function is $40/hr.  

It's not clear when the $15 for parts is paid.  One interpretation would be that this is a second up-front charge, in which case the initial value would be

$45 + $15, or $60.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

sorry not sure

step-by-step explanation: