Answer:
[tex]s(x)=10(1.03)^{x}[/tex]
Step-by-step explanation:
Let
x -----> the number of weeks
S ----> the number of members in the science club
In this problem we have a exponential function of the form
[tex]s(x)=a(b)^{x}[/tex]
where
a is the initial value
b is the base
we have
[tex]a=10\ membrers[/tex]
[tex]r=3\%[/tex]
[tex]b=100\%+3\% =103\%=103/100=1.03[/tex]
substitute
[tex]s(x)=10(1.03)^{x}[/tex]
