use the graph to answer the question. what is the average rate of change from ( x = 0 ) to ( x = 18 )? (…

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function (y = f(x)) from (x = a) to (x = b) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 0) and (b=18).

Step2: Find the values of (f(a)) and (f(b))

From the graph, when (x = 0), (y=f(0)=10) (the (y) - intercept). When (x = 18), (y = f(18)=5).

Step3: Substitute into the formula

Substitute (a = 0), (b = 18), (f(a)=10), and (f(b)=5) into (\frac{f(b)-f(a)}{b - a}). We get (\frac{5 - 10}{18-0}=\frac{- 5}{18}).

Answer:

(-\frac{5}{18}) (the second option)