Find a linear model for the following data table. $$\begin{array} { | l | l | l | l | l | }
\hline x & 3 & 6 & 9 & 12 \
\hline y & 6 & 12 & 18 & 24 \
\hline
\end{array}$$
A) $y = 2 x + 0$
B) $y = 0 x + 2$
C) $y = 6 x + - 12$
D) $y = - 12 x + 6$

Question

Find a linear model for the following data table. $$\begin{array} { | l | l | l | l | l | } 
\hline x & 3 & 6 & 9 & 12 \
\hline y & 6 & 12 & 18 & 24 \
\hline
\end{array}$$
A) $y = 2 x + 0$
B) $y = 0 x + 2$
C) $y = 6 x + - 12$
D) $y = - 12 x + 6$

Quizplus · Accepted Answer

The data shows a consistent increase; for every increase of 3 in $x$, $y$ increases by 6. This indicates a slope ($m$) of $2$, and since the line passes through the origin, the y-intercept ($b$) is $0$. Thus, the linear model is $y = 2x + 0$.

Find a Linear Model for the Following Data Table x36912y6121824\begin{array} { | l | l | l | l | l | } \hline x & 3 & 6 & 9 & 12 \\\hline y & 6 & 12 & 18 & 24 \\\hline\end{array}xy​36​612​918​1224​​

Find a Linear Model for the Following Data Table $\begin{array} { | l | l | l | l | l | } \hline x & 3 & 6 & 9 & 12 \\\hline y & 6 & 12 & 18 & 24 \\\hline\end{array}$