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
to represent this problem.

(2 points)

1 answer

To determine the number of children Anthony watches, we can set up an equation based on the information given.

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

His total hourly pay can be expressed as:

\[ \text{Total Pay} = \text{Base Pay} + \text{Bonus} \]

The base pay is $8.00 per hour, and the bonus is $1.50 per hour for each child, so the bonus will be \( 1.50x \).

Thus, the total pay can be written as:

\[ 8.00 + 1.50x \]

According to the problem, the total hourly rate is $12.50. We will set this expression equal to $12.50:

\[ 8.00 + 1.50x = 12.50 \]

Now, we will rearrange this equation to match the form \( px + q = r \):

\[ 1.50x + 8.00 = 12.50 \]

This equation is now in the form:

  • \( p = 1.50 \)
  • \( q = 8.00 \)
  • \( r = 12.50 \)

So the final equation representing the problem is:

\[ 1.50x + 8.00 = 12.50 \]