Ask a New Question
Menu

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

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 and Maribella spend equal time doing their homework.
Marco and Maribella spend equal time doing their homework.

Marco spends less time on homework per night.
Marco spends less time on homework per night.

Maribella spends less time on homework per night.

1 answer

To determine who spends less time on 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: \( \frac{3.25 \text{ hours}}{3 \text{ days}} = 1.083 \text{ hours per day} \)
  2. For 9 days: \( \frac{9.75 \text{ hours}}{9 \text{ days}} = 1.083 \text{ hours per day} \)
  3. For 12 days: \( \frac{13.0 \text{ hours}}{12 \text{ days}} = 1.083 \text{ hours per day} \)
  4. For 30 days: \( \frac{32.5 \text{ hours}}{30 \text{ days}} = 1.083 \text{ hours per day} \)

Average for Marco: \( 1.083 \text{ hours per day} \)

Maribella's Homework:

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

Average for Maribella: \( 1.05 \text{ hours per day} \)

Now, comparing the averages:

  • Marco averages 1.083 hours per day.
  • Maribella averages 1.05 hours per day.

Since 1.083 > 1.05, Marco spends more time on homework per night compared to Maribella.

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