Web Analytics

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


y = 50(1.75)t


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


It increased by 75% every year.


It decreased by 75% every year.


It increased by 50% every year.


It decreased by 50% every year.

Verified Answer :

think of 1.75 as 1+0.75 



That's in the form 1+r where r is the growth rate. 

So r = 0.75 = 75% is a growth rate

Answer:-It increased by 75% every year.



Explanation:-

Given: The number of subscribers y to a website after t years is shown by the equation , \(y=50(1.75)^t\) where 50 is the initial number of subscribers to a website and t is the time period is years.

The above equation can be rewrite as

\(y=50(1+0.75)^t\)

which is equivalent to the exponential growth function with growth rate r=0.75=75%

⇒ The number of subscribers to a website increased by 75% every year.


⇒ First option is correct.