High School

B. Complete the table.

\[
\begin{tabular}{|c|c|c|c|}
\hline
Original Value & New Value & \begin{tabular}{c}
Increase in Value \\
(Difference of new value \\
and original value)
\end{tabular} & \begin{tabular}{c}
Percentage Increase \\
[tex]\((\frac{\text{New Value - Original Value}}{\text{Original Value}}) \times 100 \%\)[/tex]
\end{tabular} \\
\hline
20 & 25 & 5 & 25\% \\
\hline
210 & 283.5 & 73.5 & 35\% \\
\hline
80 & 100.8 & 20.8 & 26\% \\
\hline
260 & 293.8 & 33.8 & 13\% \\
\hline
568 & 1050.8 & 482.8 & 85\% \\
\hline
\end{tabular}
\]

C. Solve the following problems.

Answer :

Sure! Let's walk through the process step-by-step to complete the table and solve the problems.

### Completing the Table

1. First Row:

- Original Value: 20
- New Value: 25
- Increase in Value: New Value - Original Value = 25 - 20 = 5
- Percentage Increase: (Increase in Value / Original Value) × 100% = (5 / 20) × 100% = 25%

| Original Value | New Value | Increase in Value | Percentage Increase |
|----------------|-----------|-------------------|----------------------|
| 20 | 25 | 5 | 25% |

2. Second Row:

- Original Value: 210
- New Value: The table gives us a 35% increase, so New Value = Original Value × (1 + 0.35) = 210 × 1.35 = 283.5
- Increase in Value: New Value - Original Value = 283.5 - 210 = 73.5

| Original Value | New Value | Increase in Value | Percentage Increase |
|----------------|-----------|-------------------|----------------------|
| 210 | 283.5 | 73.5 | 35% |

3. Third Row:

- Original Value: 80
- New Value: The table gives us a 26% increase, so New Value = Original Value × (1 + 0.26) = 80 × 1.26 = 100.8
- Increase in Value: New Value - Original Value = 100.8 - 80 = 20.8

| Original Value | New Value | Increase in Value | Percentage Increase |
|----------------|-----------|-------------------|----------------------|
| 80 | 100.8 | 20.8 | 26% |

4. Fourth Row:

- New Value: 293.8
- Increase in Value: 33.8
- Original Value: New Value - Increase in Value = 293.8 - 33.8 = 260
- Percentage Increase: (Increase in Value / Original Value) × 100% = (33.8 / 260) × 100% ≈ 13%

| Original Value | New Value | Increase in Value | Percentage Increase |
|----------------|-----------|-------------------|----------------------|
| 260 | 293.8 | 33.8 | 13% |

5. Fifth Row:

- New Value: 1050.8
- Increase in Value: 482.8
- Original Value: New Value - Increase in Value = 1050.8 - 482.8 = 568
- Percentage Increase: (Increase in Value / Original Value) × 100% = (482.8 / 568) × 100% ≈ 85%

| Original Value | New Value | Increase in Value | Percentage Increase |
|----------------|-----------|-------------------|----------------------|
| 568 | 1050.8 | 482.8 | 85% |

### Final Table:

| Original Value | New Value | Increase in Value | Percentage Increase |
|----------------|-----------|-------------------|----------------------|
| 20 | 25 | 5 | 25% |
| 210 | 283.5 | 73.5 | 35% |
| 80 | 100.8 | 20.8 | 26% |
| 260 | 293.8 | 33.8 | 13% |
| 568 | 1050.8 | 482.8 | 85% |

I hope this helps! If you have any further questions, feel free to ask.