  ### Home > ACC6 > Chapter 4 Unit 4 > Lesson CC1: 4.1.3 > Problem4-34

4-34.

Julian was studying a pattern made with toothpicks, and he started the table shown at right.

1. Copy and complete the table.

Do you notice the pattern Julian made? In figures 1, 2, and 3, the number of toothpicks increase by 3. Can you complete the table?

The completed table should look like the one below.

Figure Number

Number of Toothpicks

$1$

$7$

$2$

$10$

$3$

$13$

$4$

$\mathbf{16}$

$5$

$\mathbf{19}$

2. Draw axes and plot Julian’s points.

It may help to label your $x$-axis (horizontal) ''Figure Number'' and your $y$-axis (vertical) ''Number of Toothpicks''.

3. How can you describe what all of these points have in common?

Try taking a look at your graph. Do your points form any kind of figure or line?

$\begin{array}{c|c} \quad {\text{Figure} \\ \text{Number}} \quad & \; \; {\text{Number of} \\ \text{Toothpicks}} \\ \hline 1 & 7 \\ \hline 2 & 10 \\ \hline 3 & 13 \\ \hline 4 \\ \hline 5 \end{array}$