Answer
a) average price in $2008$ is \$$48$; the math model underestimates the bar graph by \$$2$
b) \$$56$
Work Step by Step
a) Since the year $2008$ is $8$ years after the year $2000,$ then substitute $n=8$ in the given model, $
C=2n+32
.$ This results to
\begin{array}{l}\require{cancel}
C=2(8)+32
\\
C=16+32
\\
C=48
.\end{array}
Hence, the average price of expanded basic cable service in $2008$ is $
\$48
.$
Since the given bar graph shows that the amount in $2008$ is $50,$ then the mathematical model underestimates the data of the bar graph by \$$2$.
b) Since the year $2012$ is $12$ years after the year $2000,$ then substitute $n=12$ in the given model, $
C=2n+32
.$ This results to
\begin{array}{l}\require{cancel}
C=2(12)+32
\\
C=24+32
\\
C=56
.\end{array}
Hence, the average price of expanded basic cable service in $2012$ is $
\$56
.$
