Anthony got a job babysitting. Each hour he works he will be paid $8.00. As a bonus, he will earn an additional $1.50 per hour for each child he watches. If his total hourly rate is $12.50, how many children does he watch?

Question

Write an equation in the form px+q=r
to represent this problem.

(2 points)
x
+
=
Remaining

Answer 1

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: \[ 1.50x + 8 = 12.50 \]

Answer 2

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