\begin{tabular}{l} Draw a tape diagram to represent each situ \ \begin{tabular}{|l|}\hline Situation \#1) Diego has 7 packs of \ markers. Each pack $$ x $$ markers in it. After \ Lin gives him 9 more markers, he has a \ total of 30 markers. \end{tabular} \ \hline\end{tabular}

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UpStudy AI · Accepted Answer

To create a **tape diagram** for **Situation #1**, follow these steps:

### **Situation #1:**
- **Diego has 7 packs of markers.**
- **Each pack contains $$ x $$ markers.**
- **Lin gives him 9 more markers.**
- **Total markers Diego has now: 30.**

### **Steps to Draw the Tape Diagram:**

1. **Represent the 7 Packs of Markers:**
   - Draw **7 rectangles** in a row, each representing one pack of markers.
   - Label each rectangle with $$ x $$ to indicate the number of markers in each pack.

2. **Add the 9 Markers Given by Lin:**
   - After the 7 rectangles, add another section (rectangle or separate space) labeled **9** to represent the additional markers Lin gave Diego.

3. **Indicate the Total:**
   - An **equals sign (=)** followed by **30** to show the total number of markers Diego has after receiving more.

### **Visual Representation:**

Here's a **text-based** approximation of the tape diagram:

```
[ x ] [ x ] [ x ] [ x ] [ x ] [ x ] [ x ] + 9 = 30
```

- **[ x ]** represents each pack of markers (there are 7 of these).
- **+ 9** represents the additional 9 markers Lin gave Diego.
- **= 30** is the total number of markers Diego has.

### **Explanation:**

- **7 packs × $$ x $$ markers per pack**: Represented by the seven [ x ] blocks.
- **+ 9 markers**: The additional markers Lin provided.
- **Total markers = 30**: The sum of all markers Diego has after receiving more.

### **Equation Form:**

The tape diagram translates to the following algebraic equation:

$$ 7x + 9 = 30 $$

Where:
- $$ 7x $$ represents the markers in the 7 packs.
- **9** is the additional markers.
- **30** is the total number of markers Diego has.

This equation can be solved to find the value of $$ x $$:

$$
\begin{align*}
7x + 9 &= 30 \
7x &= 30 - 9 \
7x &= 21 \
x &= 3
\end{align*}
$$

So, each pack contains **3 markers**.
To represent **Situation #1** with a tape diagram: 1. **Draw 7 rectangles** for the 7 packs of markers. 2. **Label each rectangle with $$ x $$** to show the number of markers per pack. 3. **Add a separate section labeled 9** to represent the additional markers Lin gave. 4. **Use an equals sign (=) and label 30** to indicate the total number of markers Diego has. **Visual Approximation:** ``` [ x ] [ x ] [ x ] [ x ] [ x ] [ x ] [ x ] + 9 = 30 ``` This diagram shows that Diego has 7 packs of markers, each containing $$ x $$ markers, plus 9 more markers from Lin, totaling 30 markers.

Draw a tape diagram to represent each situ

Situation #1) Diego has 7 packs of

markers. Each pack markers in it. After

Lin gives him 9 more markers, he has a

total of 30 markers.

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Draw a tape diagram to represent each situ Situation #1) Diego has 7 packs of markers. Each pack markers in it. After Lin gives him 9 more markers, he has a total of 30 markers.