A social media website had 100,000 followers its first year. The number of followers increased by 9% each year. Write an exponential growth function to represent this situation

an exponential growth function to represent this situation is:

Step-by-step explanation:

We know that the exponential growth function is of the form

where

x(t) represents the value at time tx₀ represents the initial value at time t = 0. In other words, it is the initial value (the amount before measuring growth or decay)r represents the growth factor when r > 0 and decay factor when r < 0t represents the of time intervals that have passed

In our case,

Given that

A social media website had 100,000 followers its first year. Thus,

x₀  = 100,000

The number of followers increased by 9% each year. Thus,

r = 9% = 0.09

Thus, substituting r = 0.09 and x₀  = 100,000 in the growth function

Therefore, an exponential growth function to represent this situation is:

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