Final answer:
The range of allowable values when a number (24) can vary by 3.5% is from 23.2 to 24.8, after calculating the variation amount and rounding to the nearest tenth.
Step-by-step explanation:
The student is asked to find the range of allowable values for a number (24) that can vary by 3.5%. To calculate this, we compute both the minimum and the maximum allowable values by applying the percentage to the original number and then rounding to the nearest tenth as instructed.
First, we calculate the variation amount: 3.5% of 24 is 0.035 * 24 = 0.84. Next, we determine the range of allowable values:
- Minimum value: 24 - 0.84 = 23.16, which rounds to 23.2.
- Maximum value: 24 + 0.84 = 24.84, which rounds to 24.8.
Therefore, the allowable range of values is from 23.2 to 24.8 when 24 can vary by 3.5%.