Anthony got a job babysitting Each hour he works he will be paid 58 00. As a bonus, he will eam 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?
Wite an equation in the form q - r represent this problem
6 * Box= Box
12.50 + 1.50 = 58.00
Let's assume that the number of children Anthony watches is represented by the variable "Box". Each hour he works, he will be paid $58.00, and he will also earn an additional $1.50 per child per hour. Since his total hourly rate is $12.50, we can set up the equation:
58.00 + 1.50 * Box = 12.50
Simplifying the equation, we have:
1.50 * Box = 12.50 - 58.00
1.50 * Box = -45.50
Now, we can solve for Box by dividing both sides of the equation by 1.50:
Box = -45.50 / 1.50
Box ≈ -30.33
However, the number of children cannot be a negative or a fraction. Therefore, there is no valid solution to this equation in terms of the number of children Anthony watches.
To represent the problem using an equation, we can define the variables as follows:
Let q represent the number of children Anthony watches.
Let r represent the total bonus amount Anthony earns per hour for watching the children.
Based on the information given, we can write the equation as:
12.50 = 58.00 + 1.50q
Here's how we can derive this equation:
- Anthony's total hourly rate is $12.50.
- The base pay per hour is $58.00 for babysitting.
- Anthony earns an additional $1.50 per hour for each child he watches, so the bonus amount per hour is 1.50q (since he earns $1.50 for each child he watches).
By adding the base pay and the bonus amount, we get Anthony's total hourly rate of $12.50.
Now, to solve for q (the number of children Anthony watches), we need to isolate the variable q in the equation:
12.50 - 58.00 = 1.50q
Since 12.50 - 58.00 = -45.50, we rewrite the equation as:
-45.50 = 1.50q
To solve for q, divide both sides of the equation by 1.50:
-45.50/1.50 = q
This simplifies to:
q = -30.33
Since we can't have a fraction of a child, we can conclude that Anthony does not watch any children based on the given information.