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
+
=

Answer 1

To represent the problem in the form \( px + q = r \), we need to set up an equation based on the information given.

Let \( x \) represent the number of children Anthony watches.

1. Anthony earns $8.00 per hour for babysitting.
2. He earns an additional $1.50 per hour for each child he watches, which is represented by \( 1.50x \).

The total hourly rate, given as $12.50, combines both amounts—his base pay and the bonus for the children he watches. Thus, we can write the equation as follows:

\[ 8 + 1.50x = 12.50 \]

In the required form \( px + q = r \):

• \( p = 1.50 \)
• \( q = 8 \)
• \( r = 12.50 \)

So the completed equation in the correct format is:

\[ 1.50x + 8 = 12.50 \]