SOLUTION: A worker earns $9 per hour for a regular workday and $13.50 per hour for additional hours. If the worker was paid $114.75 for and 11 hour workday, what is the length of a regular

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Question 117367This question is from textbook Algebra Structure and Method
: A worker earns $9 per hour for a regular workday and $13.50 per hour for additional hours. If the worker was paid $114.75 for and 11 hour workday, what is the length of a regular workday?



If anyone can answer this question I would appreciate it very much. Please and Thank You This question is from textbook Algebra Structure and Method

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The worker worked 11 hours
Call 11-x the regular workweek in hours
Call x the extra hours worked
Notice that %2811-x%29+%2B+x+=+11
114.75+=+9%2811-x%29+%2B+13.5x
114.75+=+99+-+9x+%2B+13.5x
4.5x+=+15.75
x+=+3.5
11-x+=+7.5
So, the length of a regular workday is 7.5 hours
check answer
114.75+=+9%2811-x%29+%2B+13.5x
114.75+=+9%2811-3.5%29+%2B+13.5%2A3.5
114.75+=+9%2A7.5+%2B+47.25
114.75+=+67.5+%2B+47.25
114.75+=+114.75
OK