Answer
a. $61$ percent
b. $63$ percent
c. the linear model
Work Step by Step
a. For year 2010, we have $x=2010-1980=30$. With the linear model $f(x) = x + 31$, we have $f(30) =30 + 31=61$ percent
b. With the exponential model $g(x) = 32.7e^{0.0217x}$, we have $g(30) = 32.7e^{0.0217(30)}\approx63$ percent
c. The bar graph gives a value of $61$ percent for year 2010; thus the linear model is better.
