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

There is not enough information to tell who spends less time doing their homework.
There is not enough information to tell who spends less time doing their homework.

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.

Maribella spends less time on homework per night.

1 answer

To determine who spends less time doing homework per night, we can calculate the average number of hours spent per day for both Marco and Maribella.

Marco's Homework:

  1. For 3 days: \( \frac{3.25 \text{ hours}}{3 \text{ days}} = 1.08 \text{ hours/day} \)
  2. For 9 days: \( \frac{9.75 \text{ hours}}{9 \text{ days}} = 1.0833 \text{ hours/day} \)
  3. For 12 days: \( \frac{13.0 \text{ hours}}{12 \text{ days}} = 1.0833 \text{ hours/day} \)
  4. For 30 days: \( \frac{32.5 \text{ hours}}{30 \text{ days}} = 1.0833 \text{ hours/day} \)

Average for Marco: \( \frac{1.08 + 1.0833 + 1.0833 + 1.0833}{4} \approx 1.0825 \text{ hours/day} \)

Maribella's Homework:

  1. For 4 days: \( \frac{4.2 \text{ hours}}{4 \text{ days}} = 1.05 \text{ hours/day} \)
  2. For 8 days: \( \frac{8.4 \text{ hours}}{8 \text{ days}} = 1.05 \text{ hours/day} \)
  3. For 20 days: \( \frac{21.0 \text{ hours}}{20 \text{ days}} = 1.05 \text{ hours/day} \)
  4. For 28 days: \( \frac{29.4 \text{ hours}}{28 \text{ days}} = 1.05 \text{ hours/day} \)

Average for Maribella: \( \frac{1.05 + 1.05 + 1.05 + 1.05}{4} = 1.05 \text{ hours/day} \)

Now comparing the averages:

  • Marco's average homework time is approximately 1.0825 hours/day.
  • Maribella's average homework time is 1.05 hours/day.

Conclusion: Maribella spends less time on homework per night.

The correct statement is: Maribella spends less time on homework per night.

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