Janiya found that her playlist will play for 3.8 × 10^2seconds, 6.3 × 10^5minutes, 1.05 × 10^5 hours, or 4.39814 × 10^2 days. Which answer uses the most appropriate units? (1 point)
O 3.8 x 10^2 seconds
O 6.3 × 10^5 minutes
O 1.05 × 10^4 hours
O 4.39814 × 10^2 days
The most appropriate units would be days, so the answer is:
O 4.39814 × 10^2 days
To determine which answer uses the most appropriate units, we need to compare the given values.
3.8 × 10^2 seconds is 380 seconds.
6.3 × 10^5 minutes is 630,000 minutes.
1.05 × 10^5 hours is 105,000 hours.
4.39814 × 10^2 days is approximately 440 days.
Out of the given options, 6.3 × 10^5 minutes is the largest value, making it the most appropriate choice for the units. Therefore, the answer is:
O 6.3 × 10^5 minutes
To determine which answer uses the most appropriate units, we need to convert all the values to a single unit of time and compare them.
Let's convert each value to the unit of seconds:
1 minute = 60 seconds
6.3 × 10^5 minutes = 6.3 × 10^5 * 60 = 3.78 × 10^7 seconds
1 hour = 60 minutes = 60 * 60 = 3600 seconds
1.05 × 10^4 hours = 1.05 × 10^4 * 3600 = 3.78 × 10^7 seconds
1 day = 24 hours = 24 * 3600 = 86400 seconds
4.39814 × 10^2 days = 4.39814 × 10^2 * 86400 = 3.8 × 10^7 seconds
Comparing the converted values, we can see that the values in seconds for 6.3 × 10^5 minutes, 1.05 × 10^4 hours, and 4.39814 × 10^2 days are all equal to 3.8 × 10^7 seconds.
Therefore, the answer that uses the most appropriate units is 3.8 × 10^2 seconds.