Calculate the average rate of change of the given function over the interval $[ 2,6 ]$ . $$\begin{array} { | l | l | l | l | }
\hline t \text { (month) } & 2 & 4 & 6 \
\hline \boldsymbol { R } ( t ) ( \text { ( millions) } & 13.2 & 13.8 & 12.6 \
\hline
\end{array}$$
A)-$300,000
B) -$0
C) $150
D) -$150,000
E) $150,000

Question

Calculate the average rate of change of the given function over the interval $[ 2,6 ]$ . $$\begin{array} { | l | l | l | l | } 
\hline t \text { (month) } & 2 & 4 & 6 \
\hline \boldsymbol { R } ( t ) ( \text { ( millions) } & 13.2 & 13.8 & 12.6 \
\hline
\end{array}$$  
A)-$300,000
B) -$0
C) $150
D) -$150,000
E) $150,000

Quizplus · Accepted Answer

The average rate of change of a function over an interval $[a, b]$ is given by $\frac{f(b) - f(a)}{b - a}$. Here, $a = 2$, $b = 6$, $f(a) = 13.2$ million, and $f(b) = 12.6$ million. Thus, the average rate of change is $\frac{12.6 - 13.2}{6 - 2} = \frac{-0.6}{4} = -0.15$ million per month, or $-150,000$ per month, since 1 million equals 1,000,000.

Calculate the Average Rate of Change of the Given Function [2,6][ 2,6 ][2,6]

Calculate the Average Rate of Change of the Given Function $[ 2,6 ]$