A bowling alley has a fixed base cost and charges a variable per game rate. It costs $20.50 for five games and 28.50 for nine games? What is the variable cost? (Show work

As ordered pairs (g, C) where g is the number of games and C is the cost

(5, 20.50) and (9, 28.50)

the slope M = (28.50 - 20.50) / (9-5)

= 8/4

= 2

So the slope M=$2 per game

Using (5, 20.50)

The intercept B = y - m * g

= 20.50 - 2 * 5

= 20.50 - 10

= 10.50

So the fixed base cost, or FLAT RATE is $10.50.

That is if they played ZER0 games, they still have

to pay $10.50 just to get in.

The linear function is C (g) = 2*g + 10.50