Question

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.

Answer 1

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.

Answer 2

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