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.
(2 points)
Let x be the number of children Anthony watches.
For each child, Anthony earns an additional $1.50 per hour.
So, the total additional amount he earns for each child is 1.50*x.
Therefore, his total hourly rate is $8.00 (base pay) + 1.50*x (additional pay for each child).
According to the problem, his total hourly rate is $12.50.
So, the equation in the form px + q = r is:
8 + 1.50*x = 12.50
Let's assume that the number of children Anthony watches is x.
According to the given information:
- Anthony earns $8.00 per hour for his basic pay.
- Anthony earns an additional $1.50 per hour for each child he watches.
So, the additional amount Anthony earns for watching x children is $1.50 * x = 1.5x.
Therefore, his total hourly rate is the sum of his basic pay and the additional amount he earns for watching x children:
Total hourly rate = Basic pay + Additional amount for watching x children = $8.00 + 1.5x
According to the question, his total hourly rate is $12.50. Therefore, we can write the equation as:
8 + 1.5x = 12.50
This is the equation in the form px + q = r that represents the problem.
Let's break down the problem to write an equation in the form px + q = r.
Let:
x = the number of children Anthony watches
p = the bonus rate per child (which is $1.50)
q = Anthony's base rate ($8.00 per hour)
r = the total hourly rate ($12.50)
From the problem, we know that the total hourly rate, r, is the sum of the base rate, q, and the bonus rate per child, which is p times the number of children, x.
So, the equation becomes:
px + q = r
Substituting the given values:
$1.50x + $8.00 = $12.50
And that is the equation in the form px + q = r that represents the problem.