Question

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

fee, plus $10 for each hour you use the facilities. a) The function f represents the
cost of playing soccer at Sun Oaks depending on how many hours you play. The
function g represents the cost if the hourly rate were halved. Write each
function. *​

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
`= \$ (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`.