Answered

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\begin{tabular}{|c|c|c|c|}
\hline
Bag & \begin{tabular}{c}
Circumference, \\
initial [tex]$(cm)$[/tex]
\end{tabular} & \begin{tabular}{c}
Circumference, \\
minutes [tex]$(cm)$[/tex]
\end{tabular} & \begin{tabular}{c}
Change in \\
circumference \\
[tex]$(cm)$[/tex]
\end{tabular} \\
\hline
1 & 24 & 32 & \\
\hline
2 & 26 & 25 & \\
\hline
3 & 24 & 24 & \\
\hline
4 & 25 & 25 & \\
\hline
5 & 25 & 31 & \\
\hline
6 & 26 & 25 & \\
\hline
7 & 24 & 24 & \\
\hline
8 & & & \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
Let's go through each bag one by one and calculate the change in circumference. The change is calculated by subtracting the initial circumference from the circumference after a certain number of minutes.

1. Bag 1:
- Initial circumference: 24 cm
- Minutes circumference: 32 cm
- Change in circumference: [tex]\(32 - 24 = 8 \)[/tex] cm

2. Bag 2:
- Initial circumference: 26 cm
- Minutes circumference: 25 cm
- Change in circumference: [tex]\(25 - 26 = -1 \)[/tex] cm

3. Bag 3:
- Initial circumference: 24 cm
- Minutes circumference: 24 cm
- Change in circumference: [tex]\(24 - 24 = 0 \)[/tex] cm

4. Bag 4:
- Initial circumference: 25 cm
- Minutes circumference: 25 cm
- Change in circumference: [tex]\(25 - 25 = 0 \)[/tex] cm

5. Bag 5:
- Initial circumference: 25 cm
- Minutes circumference: 31 cm
- Change in circumference: [tex]\(31 - 25 = 6 \)[/tex] cm

6. Bag 6:
- Initial circumference: 26 cm
- Minutes circumference: 25 cm
- Change in circumference: [tex]\(25 - 26 = -1 \)[/tex] cm

7. Bag 7:
- Initial circumference: 24 cm
- Minutes circumference: 24 cm
- Change in circumference: [tex]\(24 - 24 = 0 \)[/tex] cm

8. Bag 8:
- Initial circumference: None (Not applicable)
- Minutes circumference: None (Not applicable)
- Change in circumference: Not applicable

Now we can fill in the table based on these calculations:

[tex]\[ \begin{array}{|c|c|c|c|} \hline \text{Bag} & \text{Circumference, initial (cm)} & \text{Circumference, minutes (cm)} & \text{Change in circumference (cm)} \\ \hline 1 & 24 & 32 & 8 \\ \hline 2 & 26 & 25 & -1 \\ \hline 3 & 24 & 24 & 0 \\ \hline 4 & 25 & 25 & 0 \\ \hline 5 & 25 & 31 & 6 \\ \hline 6 & 26 & 25 & -1 \\ \hline 7 & 24 & 24 & 0 \\ \hline 8 & \text{N/A} & \text{N/A} & \text{N/A} \\ \hline \end{array} \][/tex]
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