Please answer this correctly
2 answers:
You might be interested in
Answer:
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 t
- x₀ 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 < 0
- t 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: