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.

Respuesta :

Answer:

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

Step-by-step 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: [tex]N(t)=N_0(1+r)^t[/tex]

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

[tex]N_0[/tex]= 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 = [tex]N(t)=3000(1+0.17)^t=3000(1.17)^t[/tex]

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