Anthony got a job babysitting. Each hour he works, he will be paid $\$ 8.00$. As a bonus, he will earn an additional $\[tex]$ 1.50$[/tex] per hour for each child he watches. If his total hourly rate is $\$ 12.50$, how many children does he watch?

Question

Anthony got a job babysitting. Each hour he works, he will be paid $\$ 8.00$. As a bonus, he will earn an additional $\[tex]$ 1.50$[/tex] 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.

GPT-4o mini · Answer

To represent the problem in the form of the equation $p x + q = r$ , we first need to identify the variables involved.

Let:

$x$ : the number of children Anthony watches.

Now, we know the following:

Anthony is paid $8.00 for each hour worked.
He earns an additional $1.50 per hour for each child he watches.

Thus, his total hourly earnings can be expressed as:

$Total pay = 8.00 + 1.50 \cdot x$

We also know that his total hourly rate is $12.50. Therefore, we set up the equation based on his total earnings:

$8.00 + 1.50 x = 12.50$

This equation is in the desired form $p x + q = r$ , where:

$p = 1.50$
$q = 8.00$
$r = 12.50$

So, the final equation representing the problem is:

$1.50 x + 8.00 = 12.50$

Anthony got a job babysitting. Each hour he works, he will be paid $$ 8.00$. As a bonus, he will earn an additional $\[tex]$ 1.50$[/tex] per hour for each child he watches. If his total hourly rate is $$ 12.50$, how many children does he watch?