Prediction of the value of the dependent variable outside the experimental region is called extrapolation.
According to the question,
Prediction of the value of the dependent variable outside the experimental region is called extrapolation.
Extrapolation is the statistical method beamed at understanding the unknown data from the known data.
Hence, prediction of the value of the dependent variable outside the experimental region is called extrapolation.
Learn more about Extrapolation here
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Check the picture below, so the parabola looks more or less like so.
the vertex is always half-way between the focus point and the directrix, and since the parabola is opening downwards, the "p" distance is negative.
![\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Ctextit%7Bvertical%20parabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%204p%28y-%20k%29%3D%28x-%20h%29%5E2%20%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bfocus~point%7D%7B%28h%2Ck%2Bp%29%7D%5Cqquad%20%5Cstackrel%7Bdirectrix%7D%7By%3Dk-p%7D%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22p%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22p%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

The correct answer according to me is 3=12
There would have to be 40 pieces of cake because 8 x 5=
40 divided by 5 would be 8 pieces for all the students :)
Step-by-step explanation:
x = amount of shares for $6.25
y = account of shares for $6.50
x + y = 500
x×6.25 + y×6.5 = 3218.75
x = 500 - y
(500 - y)×6.25 + y×6.5 = 3218.75
3125 - y×6.25 + y×6.5 = 3218.75
0.25×y = 93.75
y = 375
x = 500 - 375 = 125
so, he bought
375 shares of $6.50
125 shares of $6.25