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's say x represents the number of children Anthony watches.
The amount Anthony is paid per hour for watching x children is $8.00 + ($1.50 * x).
According to the problem, the total hourly rate is $12.50.
So, the equation in the required form would be:
8.00 + (1.50 * x) = 12.50
To solve this problem, let's break it down step by step.
Step 1: Assign variables.
Let's assume the number of children Anthony watches is 'x'.
Step 2: Determine the hourly rate.
The total hourly rate is given as $12.50. This includes the base rate of $8.00 plus an additional $1.50 per child. So, Anthony's hourly rate can be represented as: $8.00 + $1.50*x.
Step 3: Write the equation.
The equation to represent this problem is in the form of px + q = r, where:
p = coefficient of x (1.50 in this case)
x = number of children
q = constant term ($8.00)
r = total hourly rate ($12.50)
Putting it all together, the equation is: 1.50*x + 8.00 = 12.50.
Step 4: Solve for x.
To solve the equation, we need to isolate the variable x.
First, subtract 8.00 from both sides of the equation:
1.50*x = 12.50 - 8.00
1.50*x = 4.50
Next, divide both sides of the equation by 1.50 to obtain the value of x:
x = 4.50 / 1.50
x = 3.
So, Anthony watches 3 children.
Let x be the number of children Anthony watches.
Anthony earns $8 per hour + $1.50 per child per hour = $8x + $1.50x = $9.50x for each hour he works.
To find the total hourly rate, add the $9.50x to the base rate of $8.00 per hour: $9.50x + $8.00 = $12.50.
Subtracting $8.00 from both sides of the equation gives $9.50x = $4.50.
Dividing both sides of the equation by $9.50 gives x = 4.5/$9.50 children.
Therefore, Anthony is watching 4.5/$9.50 = 0.47 children. Answer: \boxed{0}.