Question

One marketing company assumes a yearly growth in social media followers of 2.5% after implementing their ideas. Their client currently has 40,000 followers. They model the projected growth with the following function, where x is the time in years since 2017.

Answer 1

Answer:

The number of follower after x years is  40,000$(1.025)^{x}$

Step-by-step explanation:

Given as :

The number of current followers = p = 40,000

The rate of growth of follower = r = 2.5%

The time period of growth = t = x years

Let The number of follower after x years = A

Now, According to question

The number of follower after x years = number of current followers × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = 40,000 × $(1+\dfrac{\textrm 2.5}{100})^{\textrm x}$

Or, A = 40,000 × $(1.025)^{x}$

So, The number of follower after x years = A = 40,000 × $(1.025)^{x}$

Hence, The number of follower after x years is  40,000$(1.025)^{x}$  Answer