To represent the problem with an equation of the form \( px + q = r \), we need to identify the variables and their relations.
Let \( x \) be the number of children Anthony watches.
The total pay per hour consists of the base pay plus the bonus per child:
- Base pay = $8.00
- Bonus per child = $1.50 per hour for each child
Thus, the total hourly rate can be expressed as: \[ \text{Total hourly rate} = 8 + 1.50x \]
Given that his total hourly rate is $12.50, we can set up the equation: \[ 8 + 1.50x = 12.50 \]
Now, we can express this in the desired form \( px + q = r \): \[ 1.50x + 8 = 12.50 \]
So:
- \( p = 1.50 \)
- \( q = 8 \)
- \( r = 12.50 \)
Thus the equation is: \[ 1.50x + 8 = 12.50 \]
Final Answer: \[ 1.50x + 8 = 12.50 \]