Answer:
About 8014 subscriptions.
Step-by-step explanation:
We can write an exponential function to model the situation.
The standard form of an exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
The current newspaper subscriptions is 15,895. So, a = 15895.
It has been decreasing at a rate of 12.8% each year.
In other words, the number of subscriptions next year will be 100% - 12.8% = 87.2% or 0.872 of the previous year. Thus, r = 0.872.
So, our function is:
[tex]f(x)=15895(0.872)^x[/tex]
Where x is the time that has passed in years.
So the number of newspaper subscriptions after five years will be:
[tex]f(5)=15895(0.872)^5\approx8014\text{ subscriptions}[/tex]
