Question

To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership

Answer 1

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

$f(t)=100+10t$

So, the required function is $f(t)=100+10t$.

Now, if the hourly rate were halved. Then,

Hourly rate $= \ \dfrac{10}{2} = \ 5$

So, total variable cost is $5t and total cost function is

$g(t)=100+5t$

So, the required function is $g(t)=100+5t$.