To determine how much money was in the tip jar when the dry cleaners opened, we will analyze the given values to identify a pattern that can help us extrapolate the amount back to when they opened.
The table gives us the amount of money in the tip jar after several hours:
- At 4 hours: $15.50
- At 5 hours: $18.25
- At 6 hours: $21.00
- At 7 hours: $23.75
- At 8 hours: $26.50
Let's calculate the amount of increase in the tip jar each hour:
From 4 to 5 hours:
- $18.25 - $15.50 = $2.75
From 5 to 6 hours:
- $21.00 - $18.25 = $2.75
From 6 to 7 hours:
- $23.75 - $21.00 = $2.75
From 7 to 8 hours:
- $26.50 - $23.75 = $2.75
The amount of money in the tip jar increases by $2.75 for each hour.
Now, let’s extrapolate backwards to find how much was in the tip jar when the dry cleaners opened (0 hours):
Since we know the value at 4 hours, we can subtract from there:
- At 4 hours: $15.50
- At 3 hours: $15.50 - $2.75 = $12.75
- At 2 hours: $12.75 - $2.75 = $10.00
- At 1 hour: $10.00 - $2.75 = $7.25
- At 0 hours (when the dry cleaners opened): $7.25 - $2.75 = $4.50
Therefore, when the dry cleaners opened, there was $4.50 in the tip jar.
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