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 chile 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 x be the number of children Anthony watches.
The amount he earns for babysitting each hour is $8.00 + ($1.50 * x).
The equation to represent this problem is:
($8.00 + ($1.50 * x)) = $12.50.
Let's assume that Anthony watches x number of children.
According to the given information, Anthony is paid $8.00 per hour and an additional $1.50 per hour for each child he watches.
So, the total amount Anthony earns in an hour for watching x children is:
Amount for watching children = $8.00 + ($1.50 * x)
The problem also states that his total hourly rate is $12.50.
Therefore, we can set up the equation:
Amount for watching children + $8.00 = $12.50
Replacing the values:
($8.00 + ($1.50 * x)) + $8.00 = $12.50
Simplifying the equation:
$8.00 + $1.50x + $8.00 = $12.50
Combining like terms:
$16.00 + $1.50x = $12.50
Rearranging the equation to isolate the variable:
$1.50x = $12.50 - $16.00
Simplifying further:
$1.50x = -$3.50
To write the equation in the form px + q = r, we divide both sides of the equation by $1.50:
x = (-$3.50) / $1.50
Simplifying the division:
x = -2.333...
Therefore, Anthony watches approximately -2.333 children. Since the number of children cannot be negative or a fraction, we round down to the nearest whole number.
So, Anthony watches 2 children.
To solve this problem, we need to set up an equation that represents the relationship between Anthony's total hourly rate, the number of children he watches, and the additional bonus he earns per child. Let's break down the given information:
- Anthony's base hourly rate is $8.00.
- He earns an additional $1.50 per hour for each child he watches.
- His total hourly rate is $12.50.
Now, let's represent the number of children he watches with the variable "x".
To calculate Anthony's total pay for the number of children he watches, we need to add his base rate with the additional bonus. The equation would be:
Total Pay = Base Rate + (Additional Bonus per child * Number of Children)
Total Pay = $8.00 + ($1.50 * x)
Since Anthony's total hourly rate is $12.50, we can set up the equation:
$12.50 = $8.00 + ($1.50 * x)
Rearranging the equation to match the form px + q = r, we have:
$1.50 * x + $8.00 = $12.50
Multiply $1.50 with x:
$1.50x + $8.00 = $12.50
So, the equation in the form px + q = r is:
1.50x + 8.00 = 12.50