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.
Let C = the number of children Anthony watches.
The equation representing this problem is 8 + 1.5C = 12.5.
Let's assume the number of children Anthony watches is represented by the variable "x".
The additional bonus he earns per hour for each child he watches is $1.50.
Therefore, the additional amount he earns per hour for "x" number of children is 1.50x.
The base rate he earns per hour is $8.00.
So, his total rate per hour, including the base rate and bonus, is $8.00 + $1.50x.
The problem states that his total hourly rate is $12.50.
Accordingly, the equation representing this problem is:
8.00 + 1.50x = 12.50
To solve this problem, we need to set up an equation that represents the given information.
Let's assume that Anthony is watching 'x' children.
As given, he will be paid $8.00 per hour for his base rate, and he will also receive an additional $1.50 per hour for each child he watches. So, for 'x' children, he will earn $1.50 * 'x' as a bonus.
Therefore, his total hourly rate can be calculated as:
Total hourly rate = Base rate + Bonus rate
Substituting the given values:
$12.50 = $8.00 + ($1.50 * 'x')
Now, let's rearrange the equation to get it in the form 'px + q = r':
$12.50 = $8.00 + ($1.50 * 'x')
$12.50 = $8.00 + $1.50x
Subtracting $8.00 from both sides:
$12.50 - $8.00 = $1.50x
$4.50 = $1.50x
Now, to find the value of 'x', we'll divide both sides of the equation by $1.50:
$4.50 / $1.50 = x
3 = x
Therefore, Anthony watches 3 children.