### Home > AC > Chapter 3 > Lesson 3.1.5 > Problem3-48

3-48.

Use your pattern skills to copy and complete the table below.

 IN ($x$) 2 10 6 7 −3 −10 100 $x$ OUT ($y$) 2 6 4 15

Use the equation $y=mx+b$ to complete the pattern. ($m=$ growth, $b=$ starting point)

 IN ($x$) $2$ $10$ $6$ $7$ $-3$ $28$ $-10$ $100$ $x$ OUT $\left(y\right)$ $2$ $6$ $4$ $4.5$ $-0.5$ $15$ $-4$ $51$
1. Explain in words what is done to the input value, $x$, to produce the output value, $y$.

Describe the equation you found from the values in the table.

Divide $x$ by 2 and then add 1.

2. Write the process you described in part (a) in algebraic symbols.