Question

The math club is experiencing a growth in membership. On average, they are seeing a growth of 3% each week. If they started with 10 members which function, S(x), represents the number of members in the science club after x weeks?

Answer 1

`s(x)=10(1.03)^(x)`

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

`s(x)=a(b)^(x)`

where

a is the initial value

b is the base

we have

`a=10\ membrers`

`r=3\%`

`b=100\%+3\% =103\%=103/100=1.03`

substitute

`s(x)=10(1.03)^(x)`