Final answer:
The television station can show 100 forty-five-second commercials per hour when commercials run for 75 minutes each hour.
Step-by-step explanation:
If a television station shows commercials for 75 minutes each hour and wishes to air 45-second commercials, we can calculate the number of commercials it can show per hour. We need to divide the total commercial time available in seconds by the duration of a single commercial in seconds.
Firstly, we convert 75 minutes to seconds:
75 minutes × 60 seconds/minute = 4500 seconds
Then, we divide this by the length of one commercial:
4500 seconds ÷ 45 seconds/commercial = 100 commercials
So, the station can show 100 forty-five-second commercials per hour.
SUMUP all the final answer as points at last:
- The television station can show 100 commercials per hour.
To find the number of 45-second commercials that can be shown per hour, we need to convert the time given in minutes to seconds. There are 60 seconds in a minute, so 75 minutes is equal to 75 * 60 = 4500 seconds.
Now we can divide the total seconds by the length of each commercial. 4500 seconds ÷ 45 seconds = 100 commercials.
Therefore, the television station can show 100 45-second commercials per hour, which means the answer is option D) 100 commercials.