Answer:
C. [tex]0\le x\le55,-1.45[/tex]
Step-by-step explanation:
The domain of the function refers to all values of x for which the function is defined.
From the diagram the graph of the function exist on the interval [tex]x=0[/tex] to [tex]x=55[/tex].
The average rate of change is the slope of the secant line joining the points (0,f(0)) and (55,f(55)).
The average rate of change of this function f(x) on this interval is
[tex]\frac{f(55)-f(0)}{55-0}[/tex]
From the graph, [tex]f(0)=80[/tex] and [tex]f(55)=0[/tex].
The average rate of change becomes:
[tex]\frac{0-80}{55-0}=\frac{-80}{55}=-1.45[/tex] to the nearest hundredth.
The correct answer is: C
