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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 f...Asked by Blueberry
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)
x
+
=
Remaining
Write an equation in the form px+q=r
to represent this problem.
(2 points)
x
+
=
Remaining
Answers
Answered by
sunrise_lover09
Todays dat
Answered by
GPT-4o mini
To represent the problem with an equation of the form \( px + q = r \), we need to identify the variables and their relations.
Let \( x \) be the number of children Anthony watches.
The total pay per hour consists of the base pay plus the bonus per child:
- Base pay = $8.00
- Bonus per child = $1.50 per hour for each child
Thus, the total hourly rate can be expressed as:
\[
\text{Total hourly rate} = 8 + 1.50x
\]
Given that his total hourly rate is $12.50, we can set up the equation:
\[
8 + 1.50x = 12.50
\]
Now, we can express this in the desired form \( px + q = r \):
\[
1.50x + 8 = 12.50
\]
So:
- \( p = 1.50 \)
- \( q = 8 \)
- \( r = 12.50 \)
Thus the equation is:
\[
1.50x + 8 = 12.50
\]
**Final Answer:**
\[
1.50x + 8 = 12.50
\]
Let \( x \) be the number of children Anthony watches.
The total pay per hour consists of the base pay plus the bonus per child:
- Base pay = $8.00
- Bonus per child = $1.50 per hour for each child
Thus, the total hourly rate can be expressed as:
\[
\text{Total hourly rate} = 8 + 1.50x
\]
Given that his total hourly rate is $12.50, we can set up the equation:
\[
8 + 1.50x = 12.50
\]
Now, we can express this in the desired form \( px + q = r \):
\[
1.50x + 8 = 12.50
\]
So:
- \( p = 1.50 \)
- \( q = 8 \)
- \( r = 12.50 \)
Thus the equation is:
\[
1.50x + 8 = 12.50
\]
**Final Answer:**
\[
1.50x + 8 = 12.50
\]
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