24. A person is responsible for replacing light bulbs when they stop working in an outdoor sign. The sign has 1,652 bulbs, and 42% of the bulbs burn out every week. How many light bulbs should the person expect to replace each day when working 7 days a week?

Answer: B

Explanation:

A person should expect to replace 99 light bulbs each day.

To determine the number of light bulbs to be replaced each day, we first calculate the weekly burnout rate. With 1,652 bulbs and a 42% burnout rate, the expected number of bulbs that burn out weekly is 694. Dividing this by 7 days results in approximately 99 bulbs that should be replaced each day.

A) 694

Option A is incorrect because it represents the total number of bulbs that burn out in a week, not on a daily basis. While it reflects the total burnout based on the weekly rate, the question specifically asks for the daily replacement expectation.

B) 99

Option B is correct as it accurately calculates the average number of bulbs that need to be replaced each day. By taking the total number of bulbs that burn out weekly (694) and dividing it by the number of days in a week (7), we arrive at 99, which aligns perfectly with the expected daily replacements.

C) 294

Option C is incorrect because it does not reflect the correct calculation of daily replacements. This figure may arise from a miscalculation or misunderstanding of the burnout rate, as it significantly exceeds the actual daily expectation based on the provided data.

D) 42

Option D is also incorrect; it underestimates the number of bulbs that need to be replaced daily. This figure does not correspond to any calculation based on the weekly burnout rate and is not reflective of the data provided.

Conclusion

The correct answer is definitively 99 bulbs per day, as it is derived from a logical breakdown of the weekly burnout rate divided by the number of days in a week. All other options misinterpret the data, either by reflecting total weekly burnouts or providing inaccurate daily estimates. Therefore, 99 remains the only viable option that meets the question's requirements.