Answer
The polynomial value is by $0.2$ greater than the value in the graph.
Work Step by Step
1. Evaluate the polynomial:
$0.001147x^2 - 4.5905x + 4595$
at the value $x = 1970$.
$0.001147x^2 - 4.5905x + 4595 = .001147 \cdot (1970^2) - 4.5905 \cdot 1970 + 4595$
This gives $4451.4 - 9043.3 + 4595 $
which equals approximately $3.1$.
2. The value in the graph corresponding to $1970$ is $2.9$. Comparing the value of the polynomial to the value in the graph we find that the value of the polynomial is greater by $3.1-2.9=0.2$ than the value in the graph.
