  ### Home > AC > Chapter 4 > Lesson 4.1.7 > Problem4-63

4-63.

On your paper, copy and complete each $x→y$ table below. Using what you know about $m$ and $b$, write an equation that represents the data in the table.  4-63 HW eTool (Desmos)

1. $\begin{array}[t]{c|c} \quad x \quad & \quad y \quad \\ \hline 0 & 5 \\ 1 & 7 \\ 2 & 9 \\ 3 & 11 \\ 4 & 13 \\ 30 \\ 200 \\ & 505 \\ x \\ \end{array}$

Look for a connection between the input and the output. Use the equation $y=mx+b$ as a guideline.

What is the starting point? ( $y$-intercept )

What is the growth rate?

1. $\begin{array}[t]{c|c} \quad x \quad & \quad y \quad \\ \hline 0 & 4 \\ 1 & 2 \\ 2 & 0 \\ 3 & -2 \\ 4 & -4 \\ 30 \\ 150 \\ 300 \\ x \\ \end{array}$

Follow the steps in part (a).

1. $\begin{array}[t]{c|c} \quad x \quad & \quad y \quad \\ \hline -2 & 7 \\ -1 & 4 \\ 0 & 1 \\ 1 & -2 \\ 2 & -5 \\ 3 \\ 100 \\ & 70 \\ x \\ \end{array}$

Use the eTool below to help write an equation for each table.
Click the link at right for the full version of the eTool:
4-63 HW eTool (Desmos)