Question

\begin{tabular}{|c|c|} \hline\( x \) & \( y \) \\ \hline-4 & -41.5 \\ \hline-3 & -33.2 \\ \hline-2 & -24.9 \\ \hline-1 & -16.6 \\ \hline 0 & -8.3 \\ \hline \end{tabular} Write a linear function \( (y=m x+b) \) or an exponential function \( \left(y=a(b)^{x}\right) \) that models the data.

          \begin{tabular}{|c|c|}
\hline\( x \) & \( y \) \\
\hline-4 & -41.5 \\
\hline-3 & -33.2 \\
\hline-2 & -24.9 \\
\hline-1 & -16.6 \\
\hline 0 & -8.3 \\
\hline
\end{tabular}

Write a linear function \( (y=m x+b) \) or an exponential function \( \left(y=a(b)^{x}\right) \) that models the data.

x y

-4 -41.5

-3 -33.2

-2 -24.9

-1 -16.6

0 -8.3

Write a linear function (y=m x+b) or an exponential function (y=a(b)^x) that models the data.

Added by Margaret P.

College Algebra with Modeling and Visualization

Gary K. Rockswold 4th Edition

Chapter 5

Instant Answer

Solved by Expert Sanchit Jain

Step 1

Since the differences between consecutive \( y \)-values are constant, the data suggests a linear function. Show more…

Show all steps

Thanks for your feedback!

\begin{tabular}{|c|c|} \hline\( x \) & \( y \) \\ \hline-4 & -41.5 \\ \hline-3 & -33.2 \\ \hline-2 & -24.9 \\ \hline-1 & -16.6 \\ \hline 0 & -8.3 \\ \hline \end{tabular} Write a linear function \( (y=m x+b) \) or an exponential function \( \left(y=a(b)^{x}\right) \) that models the data.