Question

The number of subscribers y to a magazine after t years is shown by the equation below: y = 95(0.75)t Which conclusion is correct about the number of subscribers to the magazine? It increased by 25% every year. It decreased by 25% every year. It increased by 75% every year. It decreased by 75% every year.

Answer 1

It decreased by 25% every year.
if you multiply a number by a decimal you will get a smaller number than you originally had. for example, if you multiply 95 by .75 you will get 71.25 it is decreasing but only 25%

Answer 2

B. It decreased by 25% every year.

Explanation:

We have,

Number of subscribers 'y' after 't' years is given by,

`y = 95(0.75)^t`

i.e.
`y = 95(1-0.25)^t`

i.e.
`y = 95(1+(-0.25))^t`

We see that the rate of number of subscribers is -0.25 i.e. -25%.

Since, the rate is negative.

Hence, we get that the number of subscribers are decreasing 25% every year.