Answer
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.
Solution
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**.
Reviewed and approved by the UpStudy tutoring team
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