Match the numerical model to the corresponding model.
-$\begin{array}{r|rrrrrr}
\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10
\end{array}$

A) $y = 60 - 2 x ^ { 2 }$
B) $y = 60 - 2 x$
C) $y = x + 60$
D) $y = 60 - x ^ { 2 }$

Question

Match the numerical model to the corresponding model.
-$\begin{array}{r|rrrrrr}
\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10
\end{array}$

A) $y = 60 - 2 x ^ { 2 }$
B) $y = 60 - 2 x$
C) $y = x + 60$
D) $y = 60 - x ^ { 2 }$

Quizplus · Accepted Answer

The correct model is $y = 60 - 2x^2$. This is because the change in y for each increase in x is consistent with the pattern of subtracting twice the square of x from 60. For example, when x=2, $y = 60 - 2(2)^2 = 60 - 8 = 52$, which matches the given data.

Match the Numerical Model to the Corresponding Model x012345y605852422810\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10\end{array}xy​060​158​252​342​428​510​​

Match the Numerical Model to the Corresponding Model $\begin{array}{r|rrrrrr}\mathrm{x} & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 60 & 58 & 52 & 42 & 28 & 10\end{array}$