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 x be the number of children Anthony watches.
The total amount Anthony earns per hour for watching x children is 8 + 1.50*x.
The equation representing the problem is 8 + 1.50*x = 12.50.
Let's assume that "x" represents the number of children Anthony is watching.
The equation can be written as follows:
8x + 1.50x = 12.50
In this equation:
- The term "8x" represents the base pay of $8.00 per hour per child.
- The term "1.50x" represents the bonus pay of $1.50 per hour per child.
- The sum of both terms gives us the total hourly rate earned by Anthony, which is $12.50.
So the equation in the form px + q = r is:
8x + 1.50x = 12.50
To solve this problem, let's break it down into pieces:
The base pay rate for Anthony is $8.00 per hour.
The additional pay rate for each child is $1.50 per hour.
The total hourly rate is $12.50.
Let's assume that Anthony is watching x number of children.
The equation in the form px + q = r can be written as follows:
8x + 8 = 12.50
In this equation:
- p represents the additional pay rate for each child, which is $1.50 (since Anthony earns an additional $1.50 per hour for each child he watches).
- q represents the base pay rate, which is $8.00 per hour.
- r represents the total hourly rate, which is $12.50.
To find the number of children he watches, we need to solve the equation for x.