Answer
The polynomial value is lower than the graph value by $0.3$
Work Step by Step
1. Evaluate the polynomial:
$0.001147x^2 - 4.5905x + 4595$
at the value $x = 1990$.
$0.001147x^2 - 4.5905x + 4595 = .001147 \cdot (1990^2) - 4.5905 \cdot 1990 + 4595$
This gives $4542.2 - 9135.1 + 4595 $
which equals approximately $2.1$.
2. The value in the graph corresponding to $1990$ is $2.4$. Comparing the value of the polynomial to the value in the graph we find that the value of the polynomial is lower by $2.4-2.1=0.3$ than the value in the graph.
