Answer
$33$ and $58$ age groups; the model fits the data very well.
Work Step by Step
Step 1. With the given model equation $y=0.013x^2-1.19x+28.24$, let $y=3$. We have $0.013x^2-1.19x+28.24=3$. We have $0.013x^2-1.19x+25.24=0$ and we can solve this equation graphically as shown in the figure, which gives $x=33.4\approx33$ and $x=58.1\approx58$
Step 2. Reading from the bar graph, we can find that at the above age groups, the number of fatal accidents are very close to $3$ per 100 million. This means that the model fits the data very well.