Question

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

Answer 1

Answer: It decreased by 5% every year.  

Explanation:-

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.

Answer 2

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.