SOLUTION: As more and more people get their news online, the subscriptions to the Dorchester Daily has declined over the past years. The function s(x)=0.9(.82)^x models the number of subsc

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Question 1105058: As more and more people get their news online, the subscriptions to the Dorchester Daily has declined over the past years.
The function s(x)=0.9(.82)^x models the number of subscription in tens of thousands where x represents the number of years since the trend has been observed.
What do the values in the function represent?
There were 900 subscribers when the trend began. And The number of subscribers has decreased by 18% each year since the trend began. These are the ones that I think they are can you please see if I am correct Thank you Thank you.
Found 2 solutions by Boreal, KMST:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
9000 subscribers since 0.9(,82)^0=0.9, and that is 0.9 * 10,000=9000. The rest is correct.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the number of subscriptions in thousands when the trend began was
900%2F1000=0.9 , and
each year after that, the number has become
%22100%25%22-%2218%25%22=%2286%25%22=86%2F100=0.86 of what it was the year before, then
s%28x%29=0.9%2A0.82%5Ex
models the number of subscription in thousands where x represents the number of years since the trend has been observed.

If the function s%28x%29=0.9%2A0.82%5Ex models the number of subscription in thousands where x represents the number of years since the trend has been observed, then
s%280%29=0.9%2A0.82%5E0=0.9%2A1=0.9 is
the number of subscriptions in thousands when the trend began.
That would be 0.9%2A1000=900 subscriptions when the trend began.
Also, s%28x%29=0.9%2A0.82%5Ex means that every year the number of subscriptions gets multiplied by
0.82=82%2F100=%2282%25%22=%22100%25%22-%2218%25%22 ,
and that means that the number of subscribers has
decreased by %2218%25%22 each year since the trend began.