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The number of users on a website has grown exponentially since its launch. After 1 month, there were 120 users. After 4 months, there were 960 users. Find the exponential function that models the number of users x months after the website was launched. Write your answer in the form f(x)=a(b)x.

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MathPhys

Answer:

f(x) = 60(2)Ė£

Step-by-step explanation:

f(x) = a(b)Ė£

After one month:

120 = a(b)Ā¹

After four months:

960 = a(b)ā“

Divide the second equation by the first:

8 = bĀ³

b = 2

Plug into either equation and find a.

120 = a(2)Ā¹

a = 60

Therefore, f(x) = 60(2)Ė£.

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