Marco’s Homework
Number of Days
3
9
12
30
Number of hours
3.25
9.75
13.0
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
1. There is not enough information to tell who spends less time doing their homework.
2. Maribella spends less time on homework per night.
3. Marco spends less time on homework per night.
4. Marco and Maribella spend equal time doing their homework.
3. Marco spends less time on homework per night.
To determine who spends less time doing their homework per night, let's compare the average time spent on homework per night for Marco and Maribella.
For Marco:
- In 3 days, he did 3.25 hours of homework, which is an average of 3.25/3 = 1.083 hours per night.
- In 9 days, he did 9.75 hours of homework, which is an average of 9.75/9 = 1.083 hours per night.
- In 12 days, he did 13.0 hours of homework, which is an average of 13.0/12 = 1.083 hours per night.
- In 30 days, he did 32.5 hours of homework, which is an average of 32.5/30 = 1.083 hours per night.
For Maribella:
- In 4 days, she did 4.2 hours of homework, which is an average of 4.2/4 = 1.05 hours per night.
- In 8 days, she did 8.4 hours of homework, which is an average of 8.4/8 = 1.05 hours per night.
- In 20 days, she did 21.0 hours of homework, which is an average of 21.0/20 = 1.05 hours per night.
- In 28 days, she did 29.4 hours of homework, which is an average of 29.4/28 = 1.05 hours per night.
Based on these calculations, we can see that both Marco and Maribella spend approximately the same amount of time doing their homework per night. Hence, the correct statement is:
4. Marco and Maribella spend equal time doing their homework.
To determine which statement is correct, we need to compare the average time spent on homework per night by Marco and Maribella.
For Marco:
- For 3 days, he spent a total of 3.25 hours, so the average is 3.25/3 = 1.0833 hours per night.
- For 9 days, he spent a total of 9.75 hours, so the average is 9.75/9 = 1.0833 hours per night.
- For 12 days, he spent a total of 13.0 hours, so the average is 13.0/12 = 1.0833 hours per night.
- For 30 days, he spent a total of 32.5 hours, so the average is 32.5/30 = 1.0833 hours per night.
For Maribella:
- For 4 days, she spent a total of 4.2 hours, so the average is 4.2/4 = 1.05 hours per night.
- For 8 days, she spent a total of 8.4 hours, so the average is 8.4/8 = 1.05 hours per night.
- For 20 days, she spent a total of 21.0 hours, so the average is 21.0/20 = 1.05 hours per night.
- For 28 days, she spent a total of 29.4 hours, so the average is 29.4/28 ≈ 1.05 hours per night.
Comparing the averages, we can see that both Marco and Maribella spend approximately 1.0833 hours per night on homework. Therefore, the correct statement is:
4. Marco and Maribella spend equal time doing their homework.