Answer
$19$ and $72$ age groups; the model fits the data well.
Work Step by Step
Step 1. With the given model equation $y=0.013x^2-1.19x+28.24$, let $y=10$. We have $0.013x^2-1.19x+28.24=10$ or $0.013x^2-1.19x+18.24=0$ and we can solve this equation graphically as shown in the figure, which gives $x=19.47\approx19$ and $x=72.07\approx72$
Step 2. Reading from the bar graph, we can find that at the above age groups, the number of fatal accidents are close to $10$ per 100 million, which means that the model fits the data well.
