Answer
The number of calories needed between the age of 19 and 30 are $1924$ . It underestimates the number shown by the graph by $76$ calories.
Work Step by Step
Consider the equation as follows:
$F=-82{{x}^{2}}+654x+620$
where F represents the number of females and x represents the age group.
Now,substitute the value of $x$as 4 and find the value of$F$.
$\begin{align}
& F=-82{{x}^{2}}+654x+620 \\
& =-82{{\left( 4 \right)}^{2}}+654\left( 4 \right)+620 \\
& =-1312+2616+620 \\
& =1924
\end{align}$
Here, x is considered as 4 because the age group 19-30 lies in the group 4.
From the graph, 2000 calories is needed for females of age group19-30.
Now, subtract the value of the calorie against age 19 given in the graph from the calculated value of the calorie to obtain:
$2000-1924=76$
The value of graph is higher by 76 calories.
Hence, the given model underestimates the number shown by the graph by$76$ calories.
