Final answer:
The inflation rate for year Y is calculated as the percentage change in the CPI from year X to year Y. Using the given CPI values, 160 for year X and 164 for year Y, the inflation rate is found to be 2.5%.
Step-by-step explanation:
The inflation rate is calculated as the percentage change in the consumer price index (CPI) from one year to the next. To calculate the inflation rate for year Y using the CPI values provided, you would subtract the CPI of year X (160) from the CPI of year Y (164), and then divide the result by the CPI of year X. Finally, you multiply by 100 to convert the answer into a percentage.
In this case, the calculation would be ((164 - 160) / 160) × 100 = (4 / 160) × 100 = 2.5%. Therefore, the country's inflation rate during year Y was 2.5%.