# A bowling alley offers special weekly bowling rates. The weekly rates are 5 games for $15, 6 games for $17.55, 7 games for $20.10, and 8 games for $22.65. lf this pattern continues, how much will it cost to bowl 10 games in a week?

##### 1 Answer

$27.75

#### Explanation:

The thing to do is experiment with ideas that associate the numbers looking for a pattern of behaviour. Eventually you should find something that works.

Lets try dividing cost by count

NOTHING AMEDIATELY OBVIOUS!

Actually there is something hear but it is hidden.

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Lets try rate of change.

Set

Set

1st pair to 2nd pair:

2nd pair to 3rd pair:

3rd pair to 4th pair:

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This is the same thing as a straight line graph

For each increase in x by 1 the y increases by 2.55

So 2.55 is the value of

Picking on any pair; I select

Then

We need 10 games so