### Home > CC3 > Chapter 3 > Lesson 3.2.4 > Problem3-105

3-105.

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

  IN $\left(x\right)$  OUT $\left(y\right)$ $1$ $2$ $3$ $5$ $6$ $8$ $12$ $24$ $x$ $24$ $12$ $6$ $4.8$ $4$ $2$
1. Explain the pattern you found in your table. How are $x$ and $y$ related?

$1(24)=24$
$2(12)=24$

$5(4.8)=24$
$6(4)=24$

$12(2)=24$

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

$x(y)=24$

3. Use the points in your table to graph this rule on graph paper. Describe the resulting shape.

Complete the table in the eTool below.
Click the link at right for the full version of the eTool: 3-105 HW eTool (Desmos)