Without graphing, determine whether the following data set is exactly linear, approximately linear or nonlinear.
-$$\begin{array} { c | c c c c c }
\mathrm { x } & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm { y } & 9 & 13 & 17 & 21 & 25
\end{array}$$
A) nonlinear
B) exactly linear
C) approximately linear

Question

Without graphing, determine whether the following data set is exactly linear, approximately linear or nonlinear.
-$$\begin{array} { c | c c c c c } 
\mathrm { x } & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm { y } & 9 & 13 & 17 & 21 & 25
\end{array}$$
A) nonlinear
B) exactly linear
C) approximately linear

Quizplus · Accepted Answer

The difference between consecutive y-values is constant (4), indicating a constant rate of change, which is characteristic of an exactly linear relationship.

Without Graphing, Determine Whether the Following Data Set Is Exactly x12345y913172125\begin{array} { c | c c c c c } \mathrm { x } & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm { y } & 9 & 13 & 17 & 21 & 25\end{array}xy​19​213​317​421​525​​

Without Graphing, Determine Whether the Following Data Set Is Exactly $\begin{array} { c | c c c c c } \mathrm { x } & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm { y } & 9 & 13 & 17 & 21 & 25\end{array}$