Questions: What is the percent change of an item that reduces from 1, 012 to 948? Round your answer to the nearest tenth of a percent.

Solution Steps

To find the percent change, we first calculate the difference between the original and new values. Then, we divide this difference by the original value to find the change as a fraction of the original. Finally, we multiply by 100 to convert this fraction to a percentage and round the result to the nearest tenth.

The difference between the original value and the new value is calculated as follows: \[ \text{Difference} = 1012 - 948 = 64 \]

The percent change is determined by dividing the difference by the original value and then multiplying by 100: \[ \text{Percent Change} = \left( \frac{64}{1012} \right) \times 100 \approx 6.3241 \]

Rounding the percent change to the nearest tenth gives: \[ \text{Percent Change (rounded)} \approx 6.3 \]

Final Answer