Final answer:
The radio station provides 1680 minutes of broadcasting in a week by operating continuously for 20 hours every day.
Step-by-step explanation:
To calculate the number of minutes of broadcasting the radio station provides in a week, we need to multiply the number of hours it broadcasts every day by the number of days in a week. The radio station broadcasts for 20 hours every day and there are 7 days in a week. So, the total number of hours of broadcasting in a week is 20 * 7 = 140 hours.
To convert hours to minutes, we multiply the number of hours by 60 because there are 60 minutes in an hour. Therefore, the total number of minutes of broadcasting in a week is 140 * 60 = 8400 minutes.
So, the correct answer is D. 1680 minutes.