Question

An internet startup launched a new website last month. They already have 3000 users, and the site has been growing by 17% each week. If this growth continues:

a) Write an equation for
N
, the number of users,
t
weeks from now.

Answer 1

An equation for N , the number of users, t weeks from now is
`N(t)=3000(1.17)^t`

Explanation:

An internet startup launched a new website last month.

Initial number of users = 3000

We are given that the site has been growing by 17% each week.

Formula:
`N(t)=N_0(1+r)^t`

Where N(t)= Number of users after t weeks

`N_0`= initial population =3000

r = rate of growth = 17% = 0.17

t = No. of weeks

Substitute the values in the formula :

So,an equation for N , the number of users, t weeks from now =
`N(t)=3000(1+0.17)^t=3000(1.17)^t`

Hence an equation for N , the number of users, t weeks from now is
`N(t)=3000(1.17)^t`