The number of users on a website has grown exponentially since its launch. After 2 months, there were 300 users. After 4 months there were 30000 users. Find the exponential function that models the number of users x months after the website was launched.

coexpennan

coexpennan

Answered question

2021-02-21

The number of users on a website has grown exponentially since its launch. After 2 months, there were 300 users. After 4 months there were 30000 users. Find the exponential function that models the number of users x months after the website was launched.

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-02-22Added 97 answers

Consider the model y=abx .
After 2 months, there were 300 users and after 4 months there were 30000 users.
300=ab2 (1)
30000=ab4 (2)
ab4ab2=30000300
b2=100
b=10
300=a(10)2
300=a100
a=300100
a=3
The exponential function that models the number of users x months after the website was launched is y=3(10)x

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