Answer
The value of the polynomial is $0.02$ less than the graph value
Work Step by Step
1. Evaluate the polynomial:
$0.001147x^2 - 4.5905x + 4595$
at the value $x = 1940$.
$0.001147x^2 - 4.5905x + 4595 = .001147 \cdot (1940^2) - 4.5905 \cdot 1940 + 4595$
This gives $4316.8 - 8905.6 + 4595$ which equals approximately $6.28$.
2. The value in the graph corresponding to $1940$ is $6.3$. Comparing the value of the polynomial to the value in the graph we find that value of the polynomial is less by $6.3-6.28=0.02$.
