Question

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?

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

Answer 1

To solve this problem, let's define the variable \( x \) as the number of children Anthony watches.

According to the problem:

- He earns $8.00 per hour for his job.
- He earns an additional $1.50 for each child he watches.

Thus, the total earnings per hour can be expressed as:

\[
\text{Total hourly rate} = \text{Base rate} + \text{Bonus per child} \cdot \text{Number of children}
\]

In equation form, this can be written as:

\[
8.00 + 1.50x = 12.50
\]

This is now in the form \( px + q = r \), where:
- \( p = 1.50 \)
- \( x = \) number of children (our variable)
- \( q = 8.00 \)
- \( r = 12.50 \)

Thus, the equation representing this problem is:

\[
1.50x + 8.00 = 12.50
\]