In this problem
we have an exponential growth function of the form
[tex]y=a(b^x)[/tex]where
a is the initial value -----> a=1 (one member)
b is the base of the exponential function
substitute the value of a
[tex]\begin{gathered} y=(1)(b^x) \\ y=b^x \end{gathered}[/tex]Find out the value of b
we know that
The membership of an online club is tripling every day
that means
For x=1
the value of y=3
substitute
[tex]\begin{gathered} 3=b^1 \\ b=3 \end{gathered}[/tex]therefore
The exponential equation
[tex]y=3^x[/tex]Find out the rate
b=1+r
3=1+r
r=2
r=200%
therefore
The function that models the situation is
[tex]y=3^x[/tex]where
x is the number of days
y is the number of membership
