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?

Rationale

Each day, the person should expect to replace 99 light bulbs.

To find the daily replacement expectation, we first calculate the total number of bulbs that burn out in a week, which is 42% of 1,652 bulbs, yielding 694. Dividing this weekly total by 7 days gives an expected daily replacement of approximately 99 light bulbs.

A (694) YOUR ANSWER

This choice represents the total number of bulbs expected to burn out in one week, not the daily replacement. Since the person works 7 days a week, the daily average must be calculated by dividing the weekly average by 7. Thus, 694 does not reflect the daily workload but rather the total for the week.

B (99) CORRECT

This is the correct choice, as it accurately reflects the average number of light bulbs that will need to be replaced each day. Calculating 42% of 1,652 gives 694 bulbs per week, and dividing this by 7 days results in approximately 99 bulbs per day. This calculation effectively represents the expected daily workload.

C (294) YOUR ANSWER

This option may arise from a miscalculation, possibly by incorrectly interpreting the percentage or the total number of bulbs. Dividing the weekly total of 694 bulbs by 2 instead of 7 could lead to this incorrect daily figure. Therefore, 294 does not accurately represent the expected daily replacement.

D (42) YOUR ANSWER

This choice significantly underestimates the number of bulbs that need replacing. It fails to account for the 42% burnout rate from the total of 1,652 bulbs. Consequently, this number does not reflect any logical calculation based on the given parameters and is therefore incorrect.

Conclusion

The calculation of daily light bulb replacements hinges on determining the weekly burnout average and dividing it by the number of working days. With 694 bulbs burning out weekly, the expected daily replacement is 99. Understanding these calculations allows for effective planning and maintenance of outdoor signage, ensuring continuous operation and safety.

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?

Each day, the person should expect to replace 99 light bulbs.

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