SOLUTION: Your company’s new series ” Avocado Comedy Hour “has been a complete flop, with viewership continuously declining at a rate of 30% per month. How long will the average vie

Algebra ->  Probability-and-statistics -> SOLUTION: Your company’s new series ” Avocado Comedy Hour “has been a complete flop, with viewership continuously declining at a rate of 30% per month. How long will the average vie      Log On


   

Question 1190384: Your company’s new series
”
Avocado Comedy Hour “has been a complete flop, with viewership continuously
declining at a rate of 30% per month. How long will the average viewer continue to watch
the show?
Answer by CPhill(1987) About Me  (Show Source):
You can put this solution on YOUR website!
The question is asking about how long the *average* viewer will continue to watch the show. Since viewership is declining at a constant *percentage* rate each month, this is an exponential decay situation. The average time a viewer continues to watch is related to the reciprocal of the decay rate.
Here's how to think about it:
* **Decay Rate:** 30% per month, or 0.30 as a decimal.
* **Average Viewing Duration:** The average time a viewer continues to watch the show is the inverse of the decay rate.
Average Viewing Duration = 1 / Decay Rate
Average Viewing Duration = 1 / 0.30
Average Viewing Duration = 3.33 months (approximately)
So, the average viewer will continue to watch the show for approximately 3.33 months.