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)

Answer 1

To solve this problem, we can define a variable for the number of children Anthony watches.

Let \( x \) be the number of children he watches.

Anthony's earnings can be calculated as follows:

• Base pay per hour: $8.00
• Additional bonus per hour per child: $1.50 per child

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

\[ 8.00 + 1.50x \]

We also know that his total hourly rate is $12.50. Therefore, we can set up the equation:

\[ 8.00 + 1.50x = 12.50 \]

To convert this into the form \( px + q = r \), we can rearrange it:

1. Subtract 8.00 from both sides:

\[ 1.50x = 12.50 - 8.00 \]

2. Simplify the right side:

\[ 1.50x = 4.50 \]

Thus, we have the equation in the required form:

\[ 1.50x + 8.00 = 12.50 \]

In summary, the equation representing this problem is:

\[ 1.50x + 8.00 = 12.50 \]

Here, \( p = 1.50 \), \( q = 8.00 \), and \( r = 12.50 \).