Answer :
Sure, let's go through the detailed step-by-step solution for the provided question.
### Step-by-Step Solution
#### Problem Given:
You need to complete the table by calculating the increase in value and the percentage increase for the given original and new values.
The data provided:
- Original Value: 42
- New Value: 98.3
and
- Original Value: 190
- New Value: 275.5
#### Step-by-Step Solution:
1. Calculating the increase in value:
For Original Value: 42 and New Value: 98.3
Increase in value = New Value - Original Value
Increase = 98.3 - 42 = 56.3
For Original Value: 190 and New Value: 275.5
Increase in value = New Value - Original Value
Increase = 275.5 - 190 = 85.5
2. Calculating the percentage increase:
Percentage Increase Formula:
[tex]\[
\text{Percentage Increase} = \left( \frac{\text{Increase in Value}}{\text{Original Value}} \right) \times 100
\][/tex]
For Original Value: 42 and Increase in Value: 56.3
[tex]\[
\text{Percentage Increase} = \left( \frac{56.3}{42} \right) \times 100 \approx 134.05\%
\][/tex]
For Original Value: 190 and Increase in Value: 85.5
[tex]\[
\text{Percentage Increase} = \left( \frac{85.5}{190} \right) \times 100 \approx 45.00\%
\][/tex]
#### Completed Table:
```
\begin{tabular}{l|l|l|l}
Original Value & New Value & Increase in Value & Percentage Increase \\
\hline
100 & 130 & 30 & 30% \\
350 & 525 & 175 & 50% \\
42 & 98.3 & 56.3 & 134.05% \\
190 & 275.5 & 85.5 & 45.00% \\
\end{tabular}
```
So the values to complete the table would be:
- For Original Value 42 and New Value 98.3: Increase in Value = 56.3, Percentage Increase = 134.05%
- For Original Value 190 and New Value 275.5: Increase in Value = 85.5, Percentage Increase = 45.00%
I hope this helps! If you have any further questions, feel free to ask.
### Step-by-Step Solution
#### Problem Given:
You need to complete the table by calculating the increase in value and the percentage increase for the given original and new values.
The data provided:
- Original Value: 42
- New Value: 98.3
and
- Original Value: 190
- New Value: 275.5
#### Step-by-Step Solution:
1. Calculating the increase in value:
For Original Value: 42 and New Value: 98.3
Increase in value = New Value - Original Value
Increase = 98.3 - 42 = 56.3
For Original Value: 190 and New Value: 275.5
Increase in value = New Value - Original Value
Increase = 275.5 - 190 = 85.5
2. Calculating the percentage increase:
Percentage Increase Formula:
[tex]\[
\text{Percentage Increase} = \left( \frac{\text{Increase in Value}}{\text{Original Value}} \right) \times 100
\][/tex]
For Original Value: 42 and Increase in Value: 56.3
[tex]\[
\text{Percentage Increase} = \left( \frac{56.3}{42} \right) \times 100 \approx 134.05\%
\][/tex]
For Original Value: 190 and Increase in Value: 85.5
[tex]\[
\text{Percentage Increase} = \left( \frac{85.5}{190} \right) \times 100 \approx 45.00\%
\][/tex]
#### Completed Table:
```
\begin{tabular}{l|l|l|l}
Original Value & New Value & Increase in Value & Percentage Increase \\
\hline
100 & 130 & 30 & 30% \\
350 & 525 & 175 & 50% \\
42 & 98.3 & 56.3 & 134.05% \\
190 & 275.5 & 85.5 & 45.00% \\
\end{tabular}
```
So the values to complete the table would be:
- For Original Value 42 and New Value 98.3: Increase in Value = 56.3, Percentage Increase = 134.05%
- For Original Value 190 and New Value 275.5: Increase in Value = 85.5, Percentage Increase = 45.00%
I hope this helps! If you have any further questions, feel free to ask.
