Ashley and Kendall are both downloading a large file online. Below are the numbers of seconds each has been downloading and the number of megabits downloaded. Which of these statements is true based on the given information?
Ashley:
Number of Seconds 2 4 8 10 11
Number of Megabits
Downloaded 12 24 48 60 66
Kendall:
Number of Seconds 3 5 8 14 18
Number of Megabits
Downloaded 12 20 32 56 72
A.
Ashley is downloading at a rate of 4 megabits per second, which is faster than Kendall is downloading.
B.
Kendall is downloading at a rate of 4 megabits per second, which is faster than Ashley is downloading.
C.
Ashley is downloading at a rate of 6 megabits per second, which is faster than Kendall is downloading.
D.
Kendall is downloading at a rate of 6 megabits per second, which is faster than Ashley is downloading.
D. Kendall is downloading at a rate of 6 megabits per second, which is faster than Ashley is downloading.
To determine which of these statements is true, we need to calculate the download rate (in megabits per second) for both Ashley and Kendall. The download rate is obtained by dividing the number of megabits downloaded by the number of seconds.
For Ashley:
- At 2 seconds, Ashley downloaded 12 megabits, so her download rate is 12 megabits / 2 seconds = 6 megabits per second.
- At 4 seconds, Ashley downloaded 24 megabits, so her download rate is 24 megabits / 4 seconds = 6 megabits per second.
- At 8 seconds, Ashley downloaded 48 megabits, so her download rate is 48 megabits / 8 seconds = 6 megabits per second.
- At 10 seconds, Ashley downloaded 60 megabits, so her download rate is 60 megabits / 10 seconds = 6 megabits per second.
- At 11 seconds, Ashley downloaded 66 megabits, so her download rate is 66 megabits / 11 seconds = 6 megabits per second.
For Kendall:
- At 3 seconds, Kendall downloaded 12 megabits, so his download rate is 12 megabits / 3 seconds = 4 megabits per second.
- At 5 seconds, Kendall downloaded 20 megabits, so his download rate is 20 megabits / 5 seconds = 4 megabits per second.
- At 8 seconds, Kendall downloaded 32 megabits, so his download rate is 32 megabits / 8 seconds = 4 megabits per second.
- At 14 seconds, Kendall downloaded 56 megabits, so his download rate is 56 megabits / 14 seconds = 4 megabits per second.
- At 18 seconds, Kendall downloaded 72 megabits, so his download rate is 72 megabits / 18 seconds = 4 megabits per second.
Based on the calculations, we can see that both Ashley and Kendall consistently have download rates of 6 megabits per second and 4 megabits per second, respectively. So, none of the given statements (A, B, C, or D) are correct.
To determine the rate at which Ashley and Kendall are downloading, we need to calculate the download speed per second.
Ashley:
For Ashley, we divide the number of megabits downloaded by the number of seconds.
- For the first interval, the download speed is 12 megabits / 2 seconds = 6 megabits per second.
- For the second interval, it is 24 megabits / 4 seconds = 6 megabits per second.
- For the third interval, it is 48 megabits / 8 seconds = 6 megabits per second.
- For the fourth interval, it is 60 megabits / 10 seconds = 6 megabits per second.
- For the fifth interval, it is 66 megabits / 11 seconds ≈ 6 megabits per second.
Kendall:
For Kendall, we also divide the number of megabits downloaded by the number of seconds.
- For the first interval, the download speed is 12 megabits / 3 seconds = 4 megabits per second.
- For the second interval, it is 20 megabits / 5 seconds = 4 megabits per second.
- For the third interval, it is 32 megabits / 8 seconds = 4 megabits per second.
- For the fourth interval, it is 56 megabits / 14 seconds ≈ 4 megabits per second.
- For the fifth interval, it is 72 megabits / 18 seconds = 4 megabits per second.
Based on the calculations, we can see that both Ashley and Kendall have a constant download speed of 6 megabits per second and 4 megabits per second respectively.
Therefore, the correct statement is:
A. Ashley is downloading at a rate of 4 megabits per second, which is faster than Kendall is downloading.