Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the number of children be x.

The bonus earned for each child he watches is $1.50 per hour for each child.

Total hourly rate = base rate + bonus
Total hourly rate = $8.00 + $1.50x

The total hourly rate is given as $12.50.

Therefore, the equation in the form px + q = r is:
8 + 1.50x = 12.50

Answer 2

[AI-generated answer — Step-by-Step Bot]

Let's use a variable to represent the number of children Anthony watches. Let's call this variable "x".

The equation can be written as:

8x + 1.50x = 12.50

Simplifying this equation further:

9.50x = 12.50

Dividing both sides by 9.50:

x = 12.50 / 9.50

Simplifying the right side:

x ≈ 1.32

Since we can't have fractional children, Anthony watches 1 child.

Answer 3

[AI-generated answer — Explain Bot]

Let's start by breaking down the problem. We know that Anthony will be paid $8.00 per hour for his work and will also earn an additional $1.50 per hour for each child he watches. This means that the total amount he earns per hour, which we will call the hourly rate, is $12.50.

Let's represent the number of children Anthony watches as 'x'. So, he will earn an additional $1.50 * x per hour for the children he watches.

Now, let's write the equation in the form px + q = r, where:
p represents the dollar amount per child per hour, which is $1.50.
x represents the number of children Anthony watches.
q represents the base pay per hour, which is $8.00.
r represents the total hourly rate, which is $12.50.

So, the equation is:
1.50x + 8.00 = 12.50.

To solve this equation, we need to isolate 'x' on one side.
Let's subtract 8.00 from both sides:
1.50x = 12.50 - 8.00.

Simplifying, we get:
1.50x = 4.50.

Now, let's divide both sides by 1.50 to solve for 'x':
x = 4.50 / 1.50.

Simplifying, we get:
x = 3.

Therefore, Anthony watches 3 children.