Use the tables to answer the question. Marco’s Homework Number of Days Number of Hours 3 3.25 9 9.75 12 13.0 30 32.5 Maribella’s Homework Number of Days Number of Hours 4 4.2 8 8.4 20 21.0 28 29.4 Based on the tables showing the hours of homework done by Marco and Maribella for different periods of time, which statement is correct? (1 point) Responses Maribella spends less time on homework per night. Maribella spends less time on homework per night. Marco spends less time on homework per night. Marco spends less time on homework per night. Marco and Maribella spend equal time doing their homework. Marco and Maribella spend equal time doing their homework. There is not enough information to tell who spends less time doing their homework.

1 answer

To determine which statement is correct, we need to calculate the average time spent on homework per day by both Marco and Maribella.

Marco's Homework:

  • 3 days: 3.25 hours → average: \( \frac{3.25}{3} \approx 1.0833 \) hours per day
  • 9 days: 9.75 hours → average: \( \frac{9.75}{9} \approx 1.0833 \) hours per day
  • 12 days: 13.0 hours → average: \( \frac{13.0}{12} \approx 1.0833 \) hours per day
  • 30 days: 32.5 hours → average: \( \frac{32.5}{30} \approx 1.0833 \) hours per day

Average for Marco: Marco consistently spends approximately 1.0833 hours per day.

Maribella's Homework:

  • 4 days: 4.2 hours → average: \( \frac{4.2}{4} = 1.05 \) hours per day
  • 8 days: 8.4 hours → average: \( \frac{8.4}{8} = 1.05 \) hours per day
  • 20 days: 21.0 hours → average: \( \frac{21.0}{20} = 1.05 \) hours per day
  • 28 days: 29.4 hours → average: \( \frac{29.4}{28} \approx 1.05 \) hours per day

Average for Maribella: Maribella consistently spends 1.05 hours per day.

Comparison:

  • Marco's average: \( \approx 1.0833 \) hours per day
  • Maribella's average: \( 1.05 \) hours per day

Conclusion: Since Marco spends more time on homework per night (approximately 1.0833 hours) compared to Maribella (1.05 hours), the correct statement is:

Maribella spends less time on homework per night.

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