# How do you translate the cost of playing tennis is $25 for a membership plus $8.50 per hour on court into an algebraic expression?

##### 2 Answers

You can write this as a linear function in slope-intercept form.

#### Explanation:

Let's call

If you don't use the court (

For every hour you play,

The expression then becomes:

The graph below is in 10's of $ to make it scale better. (of course the part left of the

graph{0.85x+2.5 [-5.24, 23.24, -2.4, 11.84]}

Cost =

#### Explanation:

Imagine, just a moment, that the membership is free.

You only pay the number of hour(s) on court.

If you don't play, you pay nothing.

If you play

If you play

If you play

.....

.....

Let

** But the membership isn't free...**

Whatever the number of hour(s) you play, you must pay $25 for a membership.

Therefore : Cost =

*For example, if you are not a member and you want to play #color(blue)5# hours, you will pay :*

Cost =