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Select the correct answer. A singer's newly announced concert on social media received 600 mentions in the...

Select the correct answer.
A singer's newly announced concert on social media received 600 mentions in the first week of its announcement. The total number of mentions increases by half every week.
Based on this information, after how many weeks since the concert was announced will the total number of mentions increase to about 4,556?
- The total number of mentions will increase to about 4,556 after 4 weeks.
- The total number of mentions will increase to about 4,556 after 3 weeks.
- The total number of mentions will increase to about 4,556 after 10 weeks.
- The total number of mentions will increase to about 4,556 after 5 weeks.

Answer

Answer: The total number of mentions will increase to about 4,556 after 5 weeks.

Explanation: The number of mentions increases by half every week. Starting with 600 mentions, the sequence of mentions each week is calculated as follows:

  1. Week 1: 600 mentions
  2. Week 2: 600 + 300 = 900 mentions
  3. Week 3: 900 + 450 = 1,350 mentions
  4. Week 4: 1,350 + 675 = 2,025 mentions
  5. Week 5: 2,025 + 1,012.5 = 3,037.5 mentions
  6. Week 6: 3,037.5 + 1,518.75 = 4,556.25 mentions

Therefore, it takes about 6 weeks for the mentions to reach approximately 4,556.

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