Given that:
Membership feet to play indoor soccer at the Sun Oaks Club = $100
Hourly rate = $10
To find:
The function f represents the cost of playing soccer at Sun Oaks.
Here, fixed cost is $100.
Let the number of hours of playing be t. So, total variable cost is $10t.
Total cost = Fixed cost + Variable cost
[tex]f(t)=100+10t[/tex]
So, the required function is [tex]f(t)=100+10t[/tex].
Now, if the hourly rate were halved. Then,
Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]
So, total variable cost is $5t and total cost function is
[tex]g(t)=100+5t[/tex]
So, the required function is [tex]g(t)=100+5t[/tex].