To calculate the inflation rate for each period since the previous period, follow these steps:
1. Period 2 Inflation Rate Calculation:
- Formula: [tex]\(\text{Inflation Rate} = \frac{(\text{Index Number in Current Period} - \text{Index Number in Previous Period})}{\text{Index Number in Previous Period}} \times 100\)[/tex]
- Previous Period (Period 1) Index: 130
- Current Period (Period 2) Index: 145
- Calculation:
[tex]\[
\frac{(145 - 130)}{130} \times 100 = \frac{15}{130} \times 100 \approx 11.54\%
\][/tex]
2. Period 3 Inflation Rate Calculation:
- Previous Period (Period 2) Index: 145
- Current Period (Period 3) Index: 160
- Calculation:
[tex]\[
\frac{(160 - 145)}{145} \times 100 = \frac{15}{145} \times 100 \approx 10.34\%
\][/tex]
3. Period 4 Inflation Rate Calculation:
- Previous Period (Period 3) Index: 160
- Current Period (Period 4) Index: 181
- Calculation:
[tex]\[
\frac{(181 - 160)}{160} \times 100 = \frac{21}{160} \times 100 \approx 13.12\%
\][/tex]
4. Period 5 Inflation Rate Calculation:
- Previous Period (Period 4) Index: 181
- Current Period (Period 5) Index: 191
- Calculation:
[tex]\[
\frac{(191 - 181)}{181} \times 100 = \frac{10}{181} \times 100 \approx 5.52\%
\][/tex]
So, the inflation rates since the previous period for Periods 2 through 5 are approximately [tex]\(11.54\%\)[/tex], [tex]\(10.34\%\)[/tex], [tex]\(13.12\%\)[/tex], and [tex]\(5.52\%\)[/tex] respectively.
Provide your answer as:
[tex]\[
\boxed{11.54} \% ; \boxed{10.34} \% ; \boxed{13.12} \% ; \boxed{5.52} \%
\][/tex]
