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
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.
There is not enough information to tell who spends less time doing their homework.
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.
To compare the amount of time Marco and Maribella spend on homework per night, we need to calculate the average number of hours they spend per day.
For Marco:
average hours per day = total hours spent / number of days
average hours per day = (3.25 + 9.75 + 13.0 + 32.5) / (3 + 9 + 12 + 30)
For Maribella:
average hours per day = total hours spent / number of days
average hours per day = (4.2 + 8.4 + 21.0 + 29.4) / (4 + 8 + 20 + 28)
Calculating these averages:
Marco:
average hours per day = 58.5 / 54 ≈ 1.083 hours
Maribella:
average hours per day = 63.0 / 60 ≈ 1.050 hours
From the calculations, it can be seen that Marco spends less time on homework per night as he has an average of approximately 1.083 hours per day, while Maribella has an average of approximately 1.050 hours per day. Therefore, the correct statement is: Marco spends less time on homework per night.
To determine which statement is correct, we need to compare the average time spent on homework per night by Marco and Maribella.
To find the average time spent on homework per night, we divide the total number of hours by the total number of days. Let's calculate that for both Marco and Maribella:
For Marco:
- Total number of hours = 3.25 + 9.75 + 13.0 + 32.5 = 58.5
- Total number of days = 3 + 9 + 12 + 30 = 54
- Average time spent per night by Marco = 58.5 / 54 ≈ 1.08 hours
For Maribella:
- Total number of hours = 4.2 + 8.4 + 21.0 + 29.4 = 63
- Total number of days = 4 + 8 + 20 + 28 = 60
- Average time spent per night by Maribella = 63 / 60 ≈ 1.05 hours
Comparing the averages, we can see that Maribella spends less time on homework per night (1.05 hours) compared to Marco (1.08 hours).
Therefore, the correct statement is: Maribella spends less time on homework per night.