The number of subscribers y to a newspaper after t years is shown by the equation below.

y = 75(0.95)^t

Which conclusion is correct about the number of subscribers to the newspaper?

It increased by 75% every year.

It decreased by 75% every year.

It increased by 5% every year.

It decreased by 5% every year.

The number of subscribers y to a newspaper after t years is shown by the equation \(y=75(0.95)^t\), where 75 is the initial number of subscribers to a newspaper and t is the time period is years.

The above equation can be rewrite as

\(75(1-0.05)^t\) which is equivalent to the exponential decay function with rate r=0.05=5%

⇒ The number of subscribers to a newspaper decreased by 5% every year.

⇒ Fourth option is correct.

tardymanchester tardymanchester · Answer 2 · 2019-02-13T04:26:34-05:00

Answer:

Option 4 - It decreased by 5% every year.

Step-by-step explanation:

Given : The number of subscribers y to a newspaper after t years is shown by the equation \(y = 75(0.95)^t\)

To find : Which conclusion is correct about the number of subscribers to the newspaper?

Solution :

Equation - \(y = 75(0.95)^t\)

where y is the subscribers to a newspaper and t is the time in years.

Comparing the given equation with the exponential equation

75 is the initial number of subscribers to a newspaper and t is the time period is years.

And their is an exponential decay function with rate r=0.05=5% (1-0.95=0.05)

This all imply that :

The number of subscribers to a newspaper decreased by 5% every year.

Therefore, Option 4 is correct.