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)xs(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?

Select each correct answer.

There were 900 subscribers when the trend began.

The number of subscribers has decreased by 82% each year since the trend began.

There were 90,000 subscribers when the trend began.

The number of subscribers has decreased by 18% each year since the trend began.

There were 9000 subscribers when the trend began.

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hisroyal1 hisroyal1 · Answer 1 · 2018-02-01T23:32:59+01:00

Answers:

The number of subscribers has decreased by 18% each year since the trend began.

There were 9000 subscribers when the trend began

EXPLANATION

Given the function, s(x )= 0.9(.82)^x

Since x is the number of years since the trend began

The function implies that the number of subscription is multiplied by 0.82 every year since the trend began.

⇒ The number of subscribers in each succeeding year is 82% of the previous year

⇒ Percentage reduction in number of subscriptions per year = 100% - 82%

⇒ Percentage reduction in number of subscriptions per year = 18%

Therefore, the number of subscribers has decreased by 18% each year since the trend began.

Also,

Given the function, s(x )= 0.9(.82)^x

Since x represents the number of years since the trend has been observed,

We can calculate the number of subscribers when the trend began, that is , for x = 0

s(x )= 0.9(.82)^x

s(0)= 0.9(.82)^0

s(0 )= 0.9(1)

s(0)= 0.9

We are told that the function models the number of subscription in tens of thousands

Therefore, number of subscription = 0.9 x 10,000

= 9,000

Therefore, there were 9000 subscribers when the trend began