Answer
$55\%$, same
Work Step by Step
Step 1. Use the given formula $D=0.005x^2+0.55x+34$ with $x=2010-1980=30$. We have $D=0.005(30)^2+0.55(30)+34=55$
Step 2. Read from the bar graph the index number for year 2010. We get a value of $55$.
Step 3. We conclude that the index number from the model is exactly the same as the data from the bar graph.