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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.

Respuesta :

Answer:

The number of follower after x years is  40,000[tex](1.025)^{x}[/tex]

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 × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, A = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]

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

Or, A = 40,000 × [tex](1.025)^{x}[/tex]

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

Hence, The number of follower after x years is  40,000[tex](1.025)^{x}[/tex]  Answer

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