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

increased 50% every year

Answer 2

Answer:

Option 1 - It increased by 75% every year.

Step-by-step explanation:

Given: The number of subscribers y to a website after t years is shown by the equation $y=50(1.75)^t$.

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

Solution :

We have given 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 exponential 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%

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

Hence, Option 1 is correct.